{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Notre Dame Rocket Team Rocket 2020\n",
    "\n",
    "Launched at 19045-18879 Avery Rd, Three Oaks, MI 49128.\n",
    "Permission to use flight data given by Brooke Mumma, 2020.\n",
    "\n",
    "Import Results (23rd feb)\n",
    "\n",
    "1. Measured Stability Margin 2.875 cal\n",
    "2. Official Target Altitude 4,444 ft\n",
    "3. Measured Altitude 4,320 ft or 1316.736 m\n",
    "4. Drift: 2275 ft\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "\n",
    "from rocketpy import Environment, Flight, Function, Rocket, SolidMotor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use(\"seaborn-v0_8-dark-palette\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## RocketPy Simulation\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define a dictionary with the inputs for the simulation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "parameters = {\n",
    "    # Mass Details\n",
    "    \"rocket_mass\": (18.998, 0.010),  # Rocket dry mass: 20.846 kg\n",
    "    # propulsion details\n",
    "    \"motor_structure_mass\": (1.848, 0.1),\n",
    "    \"burn_time\": (3.433, 0.1),\n",
    "    \"nozzle_radius\": (0.02475, 0.001),\n",
    "    \"throat_radius\": (0.01075, 0.001),\n",
    "    \"grain_separation\": (0.003, 0.001),\n",
    "    \"grain_density\": (1519.708, 30),\n",
    "    \"grain_outer_radius\": (0.033, 0.001),\n",
    "    \"grain_initial_inner_radius\": (0.015, 0.002),\n",
    "    \"grain_initial_height\": (0.12, 0.001),\n",
    "    \"grains_center_of_mass_position\": (-0.35, 0.100),\n",
    "    \"nozzle_position\": (0, 0.100),\n",
    "    \"motor_position\": (3.391, 0.100),\n",
    "    # aerodynamic details\n",
    "    \"center_of_mass_without_motor\": (1.3, 0.100),\n",
    "    \"drag_coefficient\": (0.44, 0.1),\n",
    "    \"inertia_i\": (73.316, 0.3 * 73.316),\n",
    "    \"inertia_z\": (0.15982, 0.3 * 0.15982),\n",
    "    \"radius\": (0.1015, 0.001),\n",
    "    \"power_off_drag\": (1, 0.033),\n",
    "    \"power_on_drag\": (1, 0.033),\n",
    "    ## nose cone\n",
    "    \"nose_length\": (0.610, 0.001),\n",
    "    \"nose_radius\": (0.1015, 0.001),\n",
    "    \"nose_position\": (0, 0.100),\n",
    "    ## fins\n",
    "    \"fin_span\": (0.165, 0.001),\n",
    "    \"fin_root_chord\": (0.152, 0.001),\n",
    "    \"fin_tip_chord\": (0.0762, 0.001),\n",
    "    \"fin_sweep_angle\": (13, 0.5),\n",
    "    \"fin_position\": (3.050, 0.100),\n",
    "    ## transitions\n",
    "    \"transition_top_radius\": (0.1015, 0.010),\n",
    "    \"transition_bottom_radius\": (0.0775, 0.010),\n",
    "    \"transition_length\": (0.127, 0.010),\n",
    "    \"transition_position\": (1.2, 0.010),\n",
    "    # launch and environment details\n",
    "    \"wind_direction\": (0, 3),\n",
    "    \"wind_speed\": (1, 0.30),\n",
    "    \"inclination\": (90, 1),\n",
    "    \"heading\": (181, 3),\n",
    "    \"rail_length\": (3.353, 0.001),\n",
    "    # parachute details\n",
    "    \"cd_s_drogue\": (1.5 * np.pi * (24 * 25.4 / 1000) * (24 * 25.4 / 1000) / 4, 0.1),\n",
    "    \"cd_s_main\": (2.2 * np.pi * (120 * 25.4 / 1000) * (120 * 25.4 / 1000) / 4, 0.1),\n",
    "    \"lag_rec\": (1, 0.5),\n",
    "}\n",
    "\n",
    "# rocket: nose_to_tail"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Environment\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the `Environment` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Environment conditions\n",
    "env = Environment(\n",
    "    gravity=9.81,\n",
    "    latitude=41.775447,\n",
    "    longitude=-86.572467,\n",
    "    date=(2020, 2, 23, 16),\n",
    "    elevation=206,\n",
    ")\n",
    "\n",
    "env.set_atmospheric_model(\n",
    "    type=\"Reanalysis\",\n",
    "    file=\"../../data/weather/ndrt_2020_weather_data_ERA5.nc\",\n",
    "    dictionary=\"ECMWF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the `Environment` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# env.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Motor\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the `SolidMotor` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "motor_l1395 = SolidMotor(\n",
    "    thrust_source=\"../../data/motors/cesaroni/Cesaroni_4895L1395-P.eng\",\n",
    "    burn_time=parameters.get(\"burn_time\")[0],\n",
    "    dry_mass=parameters.get(\"motor_structure_mass\")[0],\n",
    "    dry_inertia=(0, 0, 0),\n",
    "    center_of_dry_mass_position=parameters.get(\"grains_center_of_mass_position\")[0],\n",
    "    grains_center_of_mass_position=parameters.get(\"grains_center_of_mass_position\")[0],\n",
    "    grain_number=5,\n",
    "    grain_separation=parameters.get(\"grain_separation\")[0],\n",
    "    grain_density=parameters.get(\"grain_density\")[0],\n",
    "    grain_outer_radius=parameters.get(\"grain_outer_radius\")[0],\n",
    "    grain_initial_inner_radius=parameters.get(\"grain_initial_inner_radius\")[0],\n",
    "    grain_initial_height=parameters.get(\"grain_initial_height\")[0],\n",
    "    nozzle_radius=parameters.get(\"nozzle_radius\")[0],\n",
    "    throat_radius=parameters.get(\"throat_radius\")[0],\n",
    "    interpolation_method=\"linear\",\n",
    "    nozzle_position=parameters.get(\"nozzle_position\")[0],\n",
    "    coordinate_system_orientation=\"combustion_chamber_to_nozzle\",  # combustion_chamber_to_nozzle\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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mzZtz6dIllixZgq+v70tH30kPrVZL//79+eKLL9ixYwf+/v7MmjWLd955h/r169OtWzfc3d25c+cOISEh2Nvbs3r1arMyrl27Rrdu3fDz8yM0NJRffvmFjh07UrVq1Zeu/4svviAkJIQmTZrw3nvvUbFiRR4/fsyJEycIDg423THq0KEDbm5u1KlThyJFinDhwgUWL15s9oyJpWWlhY+PD+vWrWPUqFH4+vpSsGBBmjVrRtOmTfn999957733eOutt7h+/To//PADFStWNDvGbG1tqVixIuvXr6dcuXI4OTnxyiuvJDsEcWb/HAghhMhdpNEgRAomTJjAb7/9xvbt200PQ5csWZI+ffrw8ccfm70bYNasWXh6erJ69Wo2bdqEm5sbAQEBjBgxIs3r9ff354cffmDSpElMnDgRLy8v5syZw+bNm81eopbZXnnlFTZt2sSECRP45ptvMBgM1KxZkwULFlCrVi3TfEWLFmX69Ol88803DB06FL1ez4YNGyhSpAgjR47E1dWVRYsWMWrUKAoXLkzPnj0ZM2aM2TC1malnz55Mnz6dWbNm4e/vT4MGDdi6dSvTpk1j8eLFPHv2DDc3N2rWrJns8K5Llixh8uTJjB8/HisrK/r27cv48eMtWrebmxs7duxg2rRp/P7773z//fc4OztTqVIlvvjiC7M6rl27lnnz5vHs2TOKFy9Ov379+Pjjj9NcVlr06dOHU6dOsWrVKubPn0+pUqVo1qwZ3bp1IywsjKVLl7Jr1y4qVqzId999x2+//ZbkGJs1axYjR45k1KhR6HQ6RowYkeJ7SzLz50AIIUTuogoPD5enzoQQipPwIrqLFy+aHq4WQgghRPLkmQYhhBBCCCFEqqTRIIQQQgghhEiVNBqEEEIIIYQQqZJnGoQQQgghhBCpkjsNQgghhBBCiFRJo0EIIYQQQgiRKnlPQyYwGAzcuXOHQoUKoVKpcro6QgghRK5hNBp5+vQp7u7upreRCyHyHmk0ZII7d+7g7e2d09UQQgghcq2TJ09SokSJnK6GECKdpNGQCQoVKgTAjRs3cHBwyOHaZI2YmBgAbGxscrgm2U+yS3YlUnJ+yZ652SMjIylVqpTpb6UQIm+SRkMmSOiS5ODgII2GfEiyS3YlUnJ+yZ412aX7rhB5W57rXLh48WJ8fHxwd3fH39+fY8eOpTjv2bNn6dGjBz4+Pjg7OzN//vwMl6lUcXFxxMXF5XQ1coRkl+xKpOT8kl2Z2YUQqctTjYagoCBGjx7NiBEj2L17N1WrVqVjx47cv38/2fmjo6Px8vJi7NixFC1aNFPKVCorKyusrJR5Y0qyS3YlUnJ+ya7M7EKI1OWpRsO8efPo0aMH3bt3p1KlSsyYMQM7OztWrlyZ7Py+vr5MmDCBDh06YG1tnSllCiGEEEIIoTR55nKCTqfjxIkTBAQEmKap1WoaNWpEaGhotpYZExNj6vcJ8OTJE7PpsbGxaLVaIP5Wr0ajQaVSodfrUalUqNVqDAaDaX0vfm00GtFoNBiNRvR6vemqT+JyX1xHwjyWri+ldSQuK/E6IiIi0ryO3J7J0v307NmzfJfJ0v2UcJznp0yW7qdnz56h1+uxt7fPN5nSsr6E4z4/ZbJ0P+l0unyXydL9FB0djcFgwGAwZFqmxH8vc4LRaMRgMKDX63O0HkLkRhqNBrVabdEzR3mm0fDw4UP0ej1FihQxm16kSBEuXLiQrWXOnDmTwMDAdK0zr7KysjL9EVAarVar2LHFlbrPIT67kh/ctLKyQqPR5HQ1coTSj/v8dHIdFxfHo0eP0Ol0iv55FiIlRqMRa2trChcu/NKuiXmm0ZCbBAQEMHDgQNP3T548wdvbGxsbG9O/BJk5AkVK5Wbm+l5W1ov5MionM1m6joQGg6X1yAuZLJXcSCp5PVNa1mFtbZ2hdebGTJauL6XjPi9nsnQdLzvuMyo3/zyld/Sk1NaRU40Qo9FIWFgYWq2W4sWLp9hNWQgl0+l0PHjwgLCwMNzd3VNtXOeZRoOLiwsajSbJA8r3799P8SHnrCozs0+c84LY2FhAmUMQSnbJrkRKzi/Z80f2hFGg3N3dsbW1zeHaCJE7FShQAK1Wy/Xr14mLi0v1Tmue6XNhbW2Nj48Pe/fuNU0zGAwEBwfz6quv5poy8yutVqvYW/aSXbIrkZLzS/b8kd1oNALyfgghXibhZyThZyYleeZOA8DAgQMZNGgQ1atXx9fXlwULFhAVFUW3bt0AGDBgAO7u7owdOxaIv+Vy/vx5IP7qyZ07dzh58iQFCxakTJkyFpUphBBCCCGE0uWpRkP79u15+PAhkydPJiwsjKpVq7JmzRrc3NwAuHnzptkDq3fv3qVRo0am7+fMmcOcOXN47bXX2Lhxo0VlingJt3nzwy3rtJLskl2JlJxfsufv7NevX+fBgwfZtj5XV1c8PDyybX1CZBVVeHh46vcixEtFRkbi5eVFREQEDg4OOV2dLPH8+XMgvu+b0kh2ya5ESs4v2TM3e2RkJI6Ojly9ejVb/0YmPODp6elpynP9+nWqVq1KdHR0ttXD1taWU6dO5ZmGg1arZe3atbz99tvZul4/Pz98fHyYMWNGtq43ORMmTOC3337j2LFj2b7u3r17ExERwa+//ppt63z+/DnXrl3D1dU11QED8tSdBpFzlNwnVLIrk5Kzg7LzS/b868GDB0RHR9Oqc29c3NyzfH0Pw+7w+8/f8+DBgzQ1Gu7evcvkyZPZvHkzt27dws3NDR8fH4YOHUrjxo2zsMZZLzg4GH9/f+7fv4+Tk5Np+po1a7LteZqgoCDmzp3L8ePH0ev1lC5dmg4dOjBw4ECcnZ2zpQ55kTQahEXy07jdaSXZlUnJ2UHZ+SV7/ufi5k6xErnzyv/Vq1dp1KgRTk5OTJkyhapVqxIbG8u2bdsYOnQop06dyukqZonsOlkfM2YM06ZN46OPPmLixIkUL16cS5cusXDhQlasWMHQoUOzpR7Z6cWXMaZXnhk9SeQslUqV769ApUSyS3YlUnJ+ya7M7LnFkCFDUKlUHDhwgPbt21OhQgWqVKlCQEAAISEhpvmuX79O+/btcXJywtnZma5du3Lv3j3T5xMmTKBmzZr88MMPlClTBicnJwYPHoxer+frr7+mZMmSFC9enMmTJyepw507d2jVqhX29vZUqFDBrKtMcHAwWq2Wx48fm6YdP34crVbL1atXAbh27Rpt27alSJEiODo64uPjw+bNm7l69Sr+/v5A/It0tVotvXv3BuK7Jw0fPtxU5qNHj+jVqxdFihTBwcGBVq1acfHiRdPny5Ytw9XVlW3btuHt7Y2TkxMtW7bkzp07KW7bI0eOMGXKFAIDA5k6dSr169fHy8sLf39/fvnlF3r06GE2/4oVKyhXrhwuLi50796dJ0+emD7bunUrjRo1wtXVlaJFi/L2229z+fJl0+dXr15Fq9WyZs0a3njjDezt7albty4XLlwgNDSUOnXq4OTkRKtWrZIM/Q8wceJE3N3dcXZ2ZuDAgaY31UP8SJ9Tp06lfPny2Nvb4+vrm+w+2rJlC7Vr16ZgwYLs378/xe1iKWk0CIuo1WrFvhVZskt2JVJyfsmuzOy5QXh4OFu3bmXAgAEULFgwyecJ3XkMBgPt27cnPDycnTt3snnzZq5cuZJk5McrV66wdetWfv/9d1asWMEPP/xAmzZtuHnzJjt37uSrr75i7NixHD582Gy5cePG0a5dO44dO0bXrl3p3r07Z8+etTjH0KFDiYmJYdeuXfz111989dVXFCpUiFKlSvHLL78AcPr0aW7cuMHMmTOTLaNPnz78+eefrFu3jn379mE0GmnTpo3pXSIAUVFRzJgxgx9++IFdu3Zx48YNRowYkWK9Vq9eTaFChRgwYECynyfuLnXlyhU2bNjA+vXr+e2339i7dy+BgYGmz589e8awYcM4dOgQW7duRa1W07FjRwwGg1mZEyZM4PPPP+fIkSNYWVnx3nvv8dlnnzFjxgx2797N5cuXGTdunNkyu3bt4ty5c+zYsYMVK1awfv16Jk6caPp86tSprFixgrlz53LixAk++ugjevbsafYKAYDPP/+cr776ipMnT+Lt7Z3idrGUdE8SFnnxh0BJJLsyKTk7KDu/ZBc55dKlSxiNRipWrJjqfLt27eLUqVNcvHiRUqVKAfDDDz/g4+NDaGio6V1TBoOBRYsWYW9vT+XKlXnjjTe4cOECGzduRK1WU7FiRb7++muCg4OpU6eOqfwOHTrQp08fAMaPH8+OHTuYO3cuc+bMsShHwl2QhBPVhGHu4b9uSG5ubmYn6YldvHiRjRs3EhwcTP369QFYvnw5pUuX5rfffqNjx45A/HD6c+fOpWzZskD80PuTJk1KsV6XLl2idOnSFj07YTAYWLJkCfb29gB0796dXbt2mU7e27dvbzb/okWLcHd358yZM1StWtU0PSAggCZNmgDxd5Heffddtm3bxmuvvQbA+++/z/Lly83Ksra2ZtGiRdjZ2VGlShW++OILRo4cyfjx44mNjWXKlCls2bKFevXqAfHbd//+/SxatIiGDRuayhk3bpzpzk5mkEaDEEIIIUQu8LKXayU4e/YspUqVMjUYACpXroyTkxPnzp0zNRq8vLxMJ70Qf6Ku0WjM7ia5ubkRFhZmVn7dunWTfH/ixAmLcwwePJjBgwezfft2/Pz8aNeuHdWqVbN4+XPnzmFlZWXWkHFxcaFChQqcO3fONM3Ozs7UYID4t3+/mCUxS7cvJN12xYoVM+tGdPHiRcaPH8+RI0d48OCBqcF948YNs0ZD4iv8RYsWBTD7PLntX61aNezs7Ezf161bl6dPn3Ljxg2ePn1KVFQUzZs3N1tGp9NRvXp1s2k1a9a0OK8lpNEgLKLk29WSXZmUnB2UnV+yi5xSvnx5VCqV6cW0GfXig68qlSrJVXaVSpWmO0wJx0jiE/DEXYYgvmtRkyZN+OOPP9ixYwdTp04lMDCQwYMHpzVCqpLLklrDoHz58uzfv5/Y2NiX3m1Ibtsl3k7t2rXDw8ODBQsW4O7ujsFgoHr16mbPHrxYx4TnhV6clpbt//TpUwA2bNhA8eLFzT578f0qyXVxywj57SAsYjAYFHvbWrJLdiVScn7JrszsuYGzszNNmjRh/vz5PHv2LMnnCQ8fv/LKK9y4cYMbN26YPjtz5gyPHz/mlVdeyXA9XnzG4fDhw1SqVAmIf1kdYPbAcXJ3IUqVKkX//v1Zs2YNAQEBLFmyBPjvhDm1kboqVapEXFycWT0ePnzIhQsXMpSvS5cuPH36lPnz5yf7eeKHu1Pz8OFDzp8/z+eff07jxo155ZVXePToUbrr9aK///7b7F0ihw8fNj0TUrlyZWxsbLh+/TrlypUz+5f4zlNWkDsNQgghhFCUh2Epj7CT0+v59ttvadSoEfXr1+eLL77A29ubuLg4duzYwcKFCzl58iR+fn5UrVqVHj16MH36dOLi4hgyZAgNGzakVq1aGa73r7/+Ss2aNXnttddYvXo1oaGhLFy4EMB0cjpx4kQmTJjAxYsX+eabb8yWHz58OM2aNaN8+fI8evSIPXv2mE72PT09UalUbNq0iebNm2Nra0uhQoXMli9fvjxt2rRhwIABzJ07F3t7e0aNGkWJEiVo06ZNunPVqVOH//3vf4wYMYLbt2/z9ttvU7x4cS5fvszChQupX7++RUOuFi5cGBcXFxYtWkSxYsW4ceMGn3/+ebrr9SKdTke/fv347LPPuHbtGhMmTGDgwIGo1Wrs7e0ZPnw4//vf/zAYDLz22mtERERw4MABHBwckowAlZmk0SAsouRb1pJdmZScHZSdX7LnX66urtja2vL7z99n2zptbW1NV+ctUaZMGY4cOcLkyZMZMWIEd+7coUiRIvj6+poeRFapVAQFBTFs2DAaN26MWq2madOmSU7e02vs2LH88ssvDBkyBHd3d1asWEHlypWB+DsFP/74I4MHD8bX15datWoxfvx4unTpYlper9czdOhQbt68iYODA02aNGH69OkAlChRgi+++IJRo0bxwQcf8O677/L990n3x+LFiwkICKBt27bodDpef/11NmzYkOEXwE2ePBlfX1/mz5/PwoULMRgMlClThg4dOlh8wq1Wq1m5ciUBAQFUr16dChUq8M033+Dn55ehuiVo3Lgx5cqVo3HjxsTExNC5c2fGjh1r+nz8+PG4uroSGBjIlStXcHJyokaNGowcOTJT1p8SVXh4uOVPhYhkRUZG4uXlRUREBA4ODjldnSyRcJvM1tY2h2uS/SS7ZFciJeeX7JmbPTIyEkdHR65evZqtfyN1Oh0PHjzA09OTAgUKmKZfv36dBw8eZFs9XF1d0/Q2aCGy2/Pnz7l27Rqurq5YW1unOJ/caRAWScuIA/mNZFcmJWcHZeeX7Pmbh4eHnMQLkQ7SaBAW0Wg0OV2FHCPZlUnJ2UHZ+SW7EEIkJY0GYRElXH1KiWRXJiVnB2Xnl+xCCJGUNBqERVIbGi2/k+zKpOTsoOz8kl0IIZKSRoOwyIsvOVESya5MSs4Oys4v2YUQIqn8PbaaEEIIIYQQIsOk0SAsEhsbm+Q18Uoh2SW7Eik5v2RXZnYhROrkPqSwSEZfppKXSXZlUnJ2UHZ+yS6EEElJo0EIIYQQihERcZ2oqOx7uZudnSuOjvJeCJH3SaNBWCThdrWNjU0O1yT7SXbJrkRKzi/Z82/2iIjrfPddVWJjo7NtnVqtLf37n8pVDYfevXsTERHBr7/+mtNVEXlIuhoNsbGx3Lt3j+joaFxdXSlcuHBm1ytFixcvZvbs2YSFhVGlShWmTp1KzZo1U5x//fr1TJ48mevXr1OmTBnGjRvHW2+9Zfp80KBBrF692myZxo0bs3bt2izLkBcp+Za1ZFcmJWcHZeeX7PlXVNQDYmOjafZmN5wLu2X5+sIfhbFl9yqioh6kudFw9+5dpk6dyubNm7l58yaOjo6ULVuWbt260aNHD+zs7NJdr5kzZ8o7OUSaWdxoePLkCWvWrCEoKIg///wTnU6H0WhEpVJRvHhx3nzzTXr27Imvr2+WVTYoKIjRo0czffp0atasyYIFC+jYsSNHjhyhSJEiSeY/fPgwffv2ZcyYMTRt2pS1a9fy7rvvsnv3bipXrmyaz8/Pjzlz5pi+z69XWIQQQggBzoXdcHMtmdPVSNGVK1do1KgRTk5OTJw4kapVq2JjY8OpU6dYvHgxJUqUoHXr1kmWi42Ntajh5+jomBXVFvmcRaMnzZ07l+rVq7Nq1SoaNWrEjz/+yN69ewkNDWXr1q2MGDGCuLg4OnToQMeOHbl8+XKWVHbevHn06NGD7t27U6lSJWbMmIGdnR0rV65Mdv7vvvsOPz8/hg4dSsWKFRk1ahTVqlVj8eLFZvPZ2NhQtGhR0z8nJ6csqX9eFhcXR1xcXE5XI0dIdsmuRErOL9mVmT03GTJkCFZWVhw6dIhOnTrxyiuvUKZMGdq0acOGDRto1aoVEH9naMGCBbRr1w5HR0cmT56MXq+nb9++lC9fHnt7e6pUqcK3335rVn7v3r3p0KGD6Xs/Pz+GDRvGyJEjcXNzo2TJkkyYMMH0udFoZMKECZQpU4aCBQvi4eHBsGHDsmVbiNzDojsNf/31F7///juvvPJKsp/XrFmTd999l5iYGFatWsXBgwcpW7ZsplZUp9Nx4sQJAgICTNPUajWNGjUiNDQ02WVCQ0MZOHCg2bTGjRvzxx9/mE0LCQmhQoUKODk58frrrzNq1CicnZ1TrEtMTAwxMTGm7588eWI2PXFLPy4uDo1Gg0qlQq/Xo1KpUKvVGAwGU4YXvzYajWg0GoxGI3q93vSyncTlvriOhHksXV9K60hcVuJ1xMTEoNVqiYmJyTeZLN1PcXFxqNVqoqOj800mS/dTwudPnz7NN5ks3U8J+z4/ZUrL+mJjY9FoNDx//jzfZLJ0PyV020h83Of1TJbuJ4PBgF6vJzo6OtMyJf57KV7u4cOHbN++nS+//JKCBQsmO49KpTJ9PXHiRCZNmsT06dNNv7tKlizJ6tWrcXFx4eDBgwwYMAB3d3c6deqU4np//PFHhg0bxv79+zl06BB9+vShfv36+Pv7ExQUxKxZs1i5ciWVK1fm7t27/P3335meXeRuFjUaXrwynxIbGxvef//9DFUoJQ8fPkSv1yfphlSkSBEuXLiQ7DJhYWG4uZn3WXRzcyMsLMz0fePGjWnVqhWenp78888/TJw4kXfeeYetW7ei0WiSLXfmzJkEBgZmMJEQQgghhLlLly5hNBqpUKGC2fRixYrx/PlzAAYMGMDkyZMB6NKlC7169TKb94svvjB9Xbp0aQ4dOsTatWtTbTR4e3szZswYAMqXL8+8efPYtWsX/v7+XL9+nWLFiuHn54dWq8XDw4PatWtnRlyRhyh+9KTEt+cqV65MlSpV8PX1JSQkhEaNGiW7TEBAgNkdjCdPnuDt7Y2NjY3pX4LMfD4ipXIzc30plZVwu/rFfBmVk5ksXUfClTZbW9tsWV9uWQfAs2fPAMyuduX1TJauIy4uDmtrawoUKJBl63jx64zKzPUlHPcv5s/LmSxdx8uO+4zKzb8jnj17hlqttvj3nSXr0Ov1aSpLJO/AgQMYDAZ69OhhdvcmucFg5s2bx9KlS7lx4wbR0dHodDp8fHxSLd/b29vse3d3d9NF1o4dOzJ79mwqVKhAkyZNaN68Oa1atTLdaRLKkOa9/fz5cxYuXEhISAgPHjww/WFJsGfPnsyqmxkXFxc0Gg337983m37//n2KFi2a7DIv3lWA5O8+JObl5YWLiwv//PNPio2GzD5xzgtSuuuiBJJdmZScHZSdX7KLnFSuXDlUKlWSXhRlypQBkl7AerEL088//8ynn35KYGAgdevWxd7enunTp3PkyJFU1/viA9QJ3dUASpUqxenTp9m5cyc7duxgyJAhTJ8+nV27duX7EbfEf9LcaBg6dCi7d++mTZs2+Pr6mvWry0rW1tb4+Piwd+9eWrZsCcRfCQsODqZv377JLvPqq6+yd+9eBgwYYJq2Z88eXn311RTXc+vWLcLDw1NsiGSX69ev8+BB9r185mUSrhQp8Q+KZJfsSqTk/Lkxu6urKx4eWT/Of3b9TRcpc3Fxwd/fn3nz5jFo0KAUn2tIyYEDB6hXr57Zuc+VK1cyXC9bW1tatWpFq1atGDBgAFWrVuXkyZNZOmqmyF3S3GjYunUrP//8M3Xr1s2K+qRq4MCBDBo0iOrVq+Pr68uCBQuIioqiW7duAKYHfcaOHQtA//79ad26NXPmzKFJkyYEBQVx/PhxZs6cCcQ/5BYYGEjr1q0pWrQo//zzD+PGjaNMmTI0btw42/MluH79OhUrVjT1XcwNXF1dAXJVQya7SHbJrkRKzp8bs9vYFCAo6FdKlChhGpwh4aHkuLg4tFotcXFxpoe4Ex5wjouLMzUEXpwXMJUB8Y0lvV5PgQIFqFatWs4EzSbhj8JePlMOrmf27Nk0atSIunXrMmbMGLy9vVGr1Rw9epTz58+neqJerlw5VqxYwbZt2/Dy8mLlypUcPXoULy+vdKaAZcuWodfrqV27NnZ2dqxatQpbW1s8PT3TXabIe9LcaHB3d8fe3j4r6vJS7du35+HDh0yePJmwsDCqVq3KmjVrTN2Nbt68iVr93yiyderUYeHChXz11Vd8+eWXlClThhUrVpje0aDRaDh9+jQ//fQTERERFCtWjDfffJPPP/88R7sfPXjwgOfPn9Oqc29c3NxzrB6JFbCJv/34PCY2h2uS/SS7ZFciJefPbdkfht3h95+/Jy4uLsv//sbGxpqe6ciP7Oxc0Wpt2bJ7VbatU6u1xc7ONU3LlC1bltDQUKZMmcLo0aO5efMmNjY2vPLKKwwfPpwPP/wwxWX79evH8ePH6datGyqVis6dO/Phhx+yZcuWdGdwcnIiMDCQTz75BL1eT9WqVVm/fj0uLi7pLlPkParw8PA0vRJw+/btLFy4kBkzZlCqVKmsqleeEhkZiZeXFxERETg4OGS4vD///JOaNWvSc8goipXIHa+dt9LEX6mK0yvvDZKSXbIrkZLz57bsd29dZ9nsSfz2229UrVo1S9cVFxfH48ePM3VknMjISBwdHbl69Wqm/I20lE6n48GDB3h6epo90B8RcZ2oqOy7i2Rn55rmt0ELkZ2eP3/OtWvXcHV1xdraOsX50nynoUaNGsTExFCjRg3s7OySPDmfGf3mRO6jNvVzzR1/RLOTZAfJrjxKzq/k7Im7K+VXjo4echIvRDqkudHQt29f7ty5w5gxYyhSpIg8NCWEEELkIzJEqhAiOWluNBw5coStW7dm+S1SAYUdVBR1zh2/vNWq+CtuBqPhJXPmnOgYFZHP1DgUNGBrk3lXCPNC9oxIbbvl9+ypeVn2rDrecous2vfRMfEXmnLzNsttx33Mk+y7OKdSqeRioBAiWWluNJQvX57o6OisqItIpGQJJz7va4+1dVROVwWAGF387Wob69zRiEmOLtbA6u0F6frWM6y16pcvYKG8kD0jUttu+T17al6WPauOt9wiq/a9LtaASgVaq9y7zXLbca/T2bN2qVO2rMtoNJpGYBJCiMTS3GgYO3YsY8aMYfTo0VSuXDnJMw3Z+ZBTfubiXBBraw2bd63MtqHhUqPRFAZAr3+UwzVJnnNhN5o37o5TISPWWnWmbrfcnj0jXrbd8nP2l0kte1Yeb7lFVuz7hO0G5OptlpuO+4Rt5uKctrH600sJzzQIIdInzY2GTp06AdC2bVuz6UajEZVKlavGtc4Pwh+Fcf/hrZyuBhpNJAB6/ZMcrollMnO75bXsGfHidlNS9helJXtu+TnNTFm973PzNlPycZ942HIhhEgszY2GDRs2ZEU9RC6nUqX5UMk3JLsyKTk7KDu/krMbjUZ5EFoIkaw0/2Z87bXXsqIeIpdTq7U5XYUcI9mVScnZQdn5lZw9JiZGGg1CiGRZ1Gi4efMmJUuWtLjQ27dvU7x48XRXSuQ+ev3znK5CjpHsyqTk7KDs/FmR/do1+OMPaNECPD0zvfh0MxgMnD17lpCQEPbt28eFCxeoV68eGzduzOmqZZnr169na1dqV1dXPDzkvRAi77Oo0eDn50eLFi1477338PX1TXaeyMhI1q1bx3fffUfPnj3p379/plZU5CwlD8En2ZVJydlB2fmzIvudO3DvHvz4I7z3Xs42HG7dukVISIjpX2RkJGq1GqPRiIODA5cuXcq5ymWx69evU6VKFZ4/z75GcYECBTh9+nSeajhcvXqV8uXLExoaSvXq1XO6OiKXsKjRcPDgQaZPn0779u0pUKAAPj4+FCtWjAIFCvD48WPOnz/PuXPnqFatGuPHj+ett97K6nqLbKZW2/77VUSO1iMnSHaQ7Mqj5PxZmV2vz/6GQ2RkJAcPHmT//v0EBwdz8+ZNADQajakrksEQ/04KW1tbbGxssqdiOeDBgwfZ2mAAeP78OQ8ePEhTo6F37978+OOPTJo0iREjRpim//bbb3Ts2JHY2NisqKoQqbKo0eDs7MykSZMYPXo027Zt49ChQ9y8eZPo6GhcXFzo2LEjjRs3pnLlylldX5FD9PpnOV2FHCPZlUnJ2UHZ+bMqu0oFRmPWNxx0Oh1//fWXqZFw+vRpjEYjVlZWxMXFmeZL7tmFZ8+eZftJtUhegQIFmDZtGn379qVw4cI5XR0h0vYgtK2tLW+//TZvv/12VtVHCCGEyNcyu+FgNBq5cOEC+/fvZ+/evRw+fBidTmd2JwEwazC8rDyR8/z8/Lh8+TJTp05lypQpyc4TFBTE+PHjuXTpEu7u7gwaNIiAgAAAgoOD8ff3T7LMe++9x/fff0+5cuW4du1aks9Tuotx6tQpRo4cSUhICAULFsTf35/p06fj6uqagZQiL1HuuHIiTTSa+BcLKXHccsku2ZVIyfmzI3tGGw53795l//79hISEsHfvXh4/fmx6FiPhpD89oyAVLFgQOzu7NC8nMp9Go2HixIm89957DB48OMmANMeOHaNr166MHTuWTp06cfDgQYYMGYKzszM9e/akXr163LhxwzT/uXPnaN26Na+//joQ3/U84RjR6/V07twZrTb5kcMeP35MkyZN6N27N19//TXR0dF8/vnndO3ale3bt2fRFhC5jTQacrHIp4+IjdPldDWA3N9VITZOR+TTR4B7pm+33J49I1623fJz9pdJLXtWHm+5RVbs+9g4HU+jIjEY9Ll6m2XXcW9JwyHhWNPrDRw5coSgoCD27NljukKc+G5CZtwhePbsGVFRURkuR2SOtm3b4uPjw/jx41m0aJHZZ9988w2NGzdm1KhRAFSoUIGzZ88yY8YMevbsibW1NcWKFQPg4cOH9O/fn169evH+++8DUKRIEVNZAQEB3L17l4MHDyZbj3nz5lG9enW+/PJL07RFixZRunRpLly4QIUKFTI1t8idpNGQS9naxrH8l0Di4uRhJ0s8jrjP8l8CKVpyGMt/+Ua2m4Vku6WPbLf0eRxxnw1blhD+OEy22b9Sajjo9XDrFuy5cp/pMyZx4wacOjPJoucSMkrJI2flRpMnT+att95i+PDhZtPPnTtHmzZtzKbVr1+fb7/9Fr1ej0ajAeK7G73zzjt4eHgwc+bMJOUvWrSIH374gb1795o1JBL7+++/2bNnD05OTkk+u3LlijQaFEIaDbmUtY2BuLhYmr3ZDefCbjldHXSx8aOJWGujc7gmyQt/FMaW3avQxz3M9O2W27NnxMu2W37O/jKpZc/K4y23yIp9H/4ojEN/bs/12ywrssdG/cW2bXuTvRtgNILBoGLVKjUD+tbmxMm7HDx8g+fP41CrVRgM/y1j6XMJ6VWwYEFsbW1fPqPINq+//jpNmjRh9OjR9OjRI83LDxo0iJs3b3LgwAGsrMxP+/bs2cOwYcNYsWIF1apVS7GMp0+f0qpVK7766qskn7m7u6e5TiJvkkZDLudc2A03V8tfrJdVdLFqAKy1hhyuiWUyc7vltewZ8eJ2U1L2F6Ule275Oc1MWb3vc/M2y4rshQr9k+rnBoOR2FgDs+YeRKX6r6GQuMGQHaKiooiOVt5Fgtxu0qRJ1KpVy+yKfqVKlThw4IDZfAcOHKBChQqmuwwzZ85k7dq17N27FxcXF7N5L126ROfOnRk5ciTt2rVLdf01atRg3bp1eHl5JWl4COVQp3WB1atXs23bNtP3X3zxBV5eXjRt2tTsgRshhBBCWM5gMP571yHnRi8yGo0yelIu5O3tTdeuXZkzZ45pWkBAALt27WLSpElcuHCB5cuXM2/ePNPoSTt37uSzzz5jypQpuLq6cvfuXe7evUtERATR0dG0a9eO6tWr88EHH5g+u3v3brLrHzBgAOHh4bz77ruEhoZy+fJltm3bRp8+fbKki5zIndLcaJg5cyYFChQA4MiRIyxZsoRx48bh4uJiehhH5D96vRq9Ps2HS74g2XMmu15n5MBCFetGFeDAQhV6XfaeyCh5v4Oy8ys5u52dnelvfH7k6uqa7fkKFCiQKcOSjhs3zvQSPgBfX19Wr17NL7/8QvXq1Rk/fjzjxo2jZ8+eAOzfvx+9Xs+gQYMoVaqU6V9AQAD37t3j3Llz7Nq1Cw8PD7PPk1O8eHGCg4PR6/W0aNGCGjVq8PHHH+Pk5IRarcyfFSVK8z2mW7duUaZMGQD++OMPWrduTa9evahTp06SB3KywuLFi5k9ezZhYWFUqVKFqVOnUrNmzRTnX79+PZMnT+b69euUKVOGcePGmb2x2mg0MnnyZH788UciIiKoU6cOX3/9NWXLls3yLHmJWq3cK0+SPfttmmjNp9+156ahhGlayQm3mNo/iJZjsmfUHSXvd1B2fiVnj4mJyddvG/bw8OD06dM8ePAg29bp6uqaprdBA3z//fdJpnl5efHsmfnIXu3bt6d9+/bJljF27FjGjh2b4jpS289eXl5JPi9fvjxr1qxJrdoin0tzo6FgwYKEh4dTsmRJdu/ezcCBA4H4lnRWv0UyKCiI0aNHM336dGrWrMmCBQvo2LEjR44cSfaJ/8OHD9O3b1/GjBlD06ZNWbt2Le+++y67d+82vb3622+/ZeHChcybNw9PT0+++uorOnbsyMGDB/P11Za0UqmU+0dUsmevTROteXf+IF5c8y2DO+/OH8QK5mZLw0HJ+x2UnV/J2Q0Gg9nV7PzIw8MjzSfxQoh0NBreeOMNPvroI7y9vbl8+bLpqv25c+dSvK2VWebNm0ePHj3o3r07ADNmzGD79u2sXLmSYcOGJZn/u+++w8/Pj6FDhwIwatQo9uzZw+LFi5kxYwZGo5EFCxbw8ccf06JFCwDmz59PxYoV2bRpEx06dEhT/XQ6HTpd0pMZtVpt9uBQcvMkeHGoO12sHp0u+dEyVCoVWq3G9H1srD7FvqgZndfUHjQmrYu1tZXZvKn1h008b1ycPtW+u2mZN/E69frUt5tWqzFt55eVq9VqMBjU/5Ybh16f8h/TxOXq9YZU57WyUptu6ebkvAkMBiNxcUm32/OY+H2gURvQaNT/zmsgLi7lcjUadbrnjYnS8+l3Xf5tMJjf8jaiRoWBkd+1o+mI1RhUlpVrNBqJjU25z61arcLKSpNk3oTsiY9583njj5/kttuL8wIpHo9pnffFn8+0zJuWn/uYmH/7tifzM5+WcsH8Z1mvT/5YS27ezPwdkZafe73B5t95DWkqN7Wfubg4Q554VsDa2horKyt0Oh1WVlam3yfxP8spH2sajcb08O2L86b2N08IkXekudEwbdo0Jk2axK1bt1i6dCnOzs4AHD9+PM0n2Wmh0+k4ceKE6QEfiD8Zb9SoEaGhockuExoaaroTkqBx48b88ccfAFy7do179+7xxhtvmD53cHCgZs2ahIaGppgnJiaGmJgY0/dPnsS/NXTq1KnY2NhgMBjMftGWL1+ebt26odfrUalUBAYGmn6JqlQq0x8SlUqFh4cH1atXx9a2EFZWsXy/7CRq9fl/y1KjVhtMXxd3t6dHt3ro9Wo0GiPfLdnH44jnqABURoxGlelrZ2d7evdogPrf6UuWHST80RMwqjCScGVNhdEATk4F6N+nEXF6DVYaPctXHebGraeoVUY0GgNGgwqVKr7cAjY2DBnQGJXKiMGg5ue1x7hx66F5uf9+ba1VM2xwEwwGFRqNgbXr/uLSlYdmmRK+NhpUfPpxM8CI3qBm46a/uXDprlkmo1H173Yz0r2rN1qtKyqVNZcvF2Tud39S0O68KZNKbTStY8iARhS0syFOr2H3nnP89fd1s0yJ19H3/TewtbVBrTYSvO8yR45dNctk+toIvXvWp4irPXF6DYePnGf/oUtJMqnUAEa6da5PCXdHVCojh45cZ2/I+SSZEtbRtdOrlCrpgsGo4sTf/7Bj97kkmRLW8XarV6lYPn6EjBMn77J1+8kkmRK+btPKBxcXa7RaV+7dfcb+/QV4GPbvdvs3k+Hf+jRv6k117/hh9c5ffMRvv4cmyZRQrn/jSlSvVhqVysiNm49ZvSY0SaaEr19vUJF6tb0AFTdvPWX5yNtmXZJeZETNDUNJts/Wc1S/J9ljHaOKWr6lafxGBYxGFY8joln0wx5Tphe3W41qHrz5hjdWGj3PomKYM38PKjXo9SqMRhVWGoNpHVUrl6Bls6rExtmgVjuz5Y9TRD0tQHjYn9glbLd/81UsX4xWzX3RaOL3zZQZe1I81suUKUKndr4YDGpUKiPfzNmJLtZglimh3FIlXOjcsQ5qtQGjUcXs+cE8//f3UWb+jli6Yj/hj56iURst+h1x+84T82M9md8RsXE2/PmXhtu3rQkPO4at7YVs+x3x0cC30GqtUKsNbNpyhlNnbpllSnxcfPhBY+zsbIh6rrXod4SToy0qlZHdwRdT/B1x4tRtChUqhEqlxs7OjoiICPR6PVqt1tQNRKvVEhcXh9FoxN7e3nTyrVariYmJwWAwmE7M9Xo9arUalUqFWq3G2toarVbLs2fPiIuLw8rKyqzchK8dHBzQ6XQYjUbT/EajESsrKwwGAzqdjoiICMaPH0/Hjh2pVKkSEH9hcO3atf9uT9W/2+q/v3UtWrQwdRU+c+YMv/76q2me/NzdSQglSXOjwdHRkcDAwCTTP/vss0ypUEoePnyIXq9P0g2pSJEiXLhwIdllwsLCcHMzHwfczc2NsLAwAO7du2cq48UyE+ZJzsyZM5PdBvmZCiOqJB1GlEGlMiq2u0L8CU/2rU/32Mmi+R7cLABZPDS4CqNCj/h/qZTbTee/n3nlveRMCd2ThBDpowoPD0/TX4UXxwR+Uf369TNUoZTcuXOHKlWqsGXLFmrXrm2a/sUXX7B//3527NiRZJmiRYsyb948szsGS5YsITAwkPPnz3P48GGaN2/OmTNnTK9aB3j//fdRqVTJPogEyd9p8Pb25v79+zg4OCSZP63dk06ePEnAsGY09rtPx9ZDcHNJ/sprdnZPin4e/30Bm9zZPelRxB1Wr5tFsZK9uXXtezq3TXm7pbV7UoxOG/+1lS7fdU96EH6bVUHf4Fb8fW5f/4Eu7cy3W0IXnYJ22dM9af93KlpP/F+K8yf4Y9wMavVK+eplZnZPSnzMJ8wb9uAmK3/9hiLuPbl7c1mS7fZiuZD3uic9eRp/FzS5n/n0dk8Ke3CTjdtW8Ojxg2S3WeJ5Iee7JxWwicu07knffb+fsRM3ktt7KLm4uODm5sbx48czrXtSZGQkRYoU4erVq8n+jcwqOp2OBw8e4OnpKc8oCpGK58+fc+3aNVxdXbG2tk5xvjTfaWjdunWSaYn74WfViAQuLi5oNBru379vNv3+/fsULVo02WUS31VIkPjuQ8Jy9+/fN2s03L9/n6pVq6ZYFxsbG2xsbJJMt7a2TnVjJ57PUtZajdkfxtQk/iOe2fMajPHzv6zqaSk38UlSRudNfAxqNJZvN0vqkHC1NfGJ6MvktXnjT1qTbjcjmn/LSjyvGmtrS8tN27z1+xgpOekWtwzuGJMZEVqFgZLq29TpZUBj4c+FSqWy+Gco8bwJ2VM65lWq+OMnue2WHEvrkJXzpuXnM2G/WfLrKi3lajTJH2vJyczfEWmZN0YHCbfY0lJuaj9zVlZqs+6ouZXRaDR1d0osuWkpeXHetPzNE0LkXmkeXPeff/4x+3fhwgXWrFlDjRo1TH0Ys4K1tTU+Pj7s3bvXNM1gMBAcHMyrr76a7DKvvvqq2fwQ/8r0hPk9PT0pWrQowcHBps8jIyM5duxYimUqldK76Ej27KGxVjG1f1D8ujG/Ypvw/ZT+69BYZ323ESXvd1B2fiVnj42NTfWOghBCudJ8pyG5W4tvvvkm1tbWjB49mt27d2dKxZIzcOBABg0aRPXq1fH19WXBggVERUXRrVs3IP6Nhe7u7qZxifv370/r1q2ZM2cOTZo0ISgoiOPHjzNz5kwg/qrihx9+yPTp0ylbtqxpyNVixYrRsmXLLMuRFyU8UKhEkj17tRyjYwVzk76nQX2bKf3XZdt7GpS830HZ+ZWcXavVmroZCSFEYmluNKSkSJEiXLp0KbOKS1b79u15+PAhkydPJiwsjKpVq7JmzRpTd6ObN2+avZmwTp06LFy4kK+++oovv/ySMmXKsGLFCtM7GgCGDh3Ks2fPCAgIICIigrp167JmzRrp//gCJf8RlezZr+UYHc0+Xc3hpWruXbOhqGfMv12Ssq8+St7voOz8Ss6eMCKTEEK8KM2NhtOnT5t9bzQauXv3LrNmzUr1OYDM0rdvX/r27ZvsZxs3bkwyrW3btrRt2zbF8lQqFZ9//jmff/55ZlUxX0oY5lCJJHvO0FirqN/PCCS8JCR7T2SUvN9B2fmVnD2/vxE6XfR6VCEhcOcOuLtjbNDA/EGvPKh3795ERERkabdyJYmKiqJXr17s2LGDJ0+ecP/+fZycnHK6Wpkuzc80NGzYkEaNGtGwYUPT1507d0an0zFr1qysqKPIBYxGlWKvvkl2ya5ESs6fk9mLFf2vC3DiFzBmFysrK7RabbavN7dSrVuHplw5NP7+aN57L/7/5cqhWrcuS9d79+5dAgICqFSpEoUKFaJEiRI0bNjQ1C07o2bOnMmSJUsyoaYp0+l0fP311/j6+uLg4ECxYsVo2LAhS5cuzdSG6YQJE0zvCMkpy5cvJyQkhL1793Ljxg0cHR2TzLNs2TK0Wi3e3t5JPlu7di1arZZy5cplR3XTLc13Go4fP272vUqlwtXVVbrz5HNKPXkAya5USs4Oys6fU9l796jH11+14/6Dp+zZd5E9ey+wdecZwsOjgfiuQ1n9DoXEw6wqnWrdOtSdO5NknNxbt1B37ozh558xtmuX6eu9cuUKjRo1wsnJiYkTJ1K1alVsbGw4deoUixcvpkSJEsmOZAnxD7Jb0uhL7qQ2M+l0Olq0aMHff//NuHHjqF+/Pg4ODhw+fJgZM2ZQvXp1qlevnqV1SCudTpfukb6uXLlCpUqVXtrjpmDBgoSFhXHw4EHq1atnmv7DDz/g4eGRrnVnpzQ3GkqVKpUV9RApCH+U8kvmslOcPv6XkJUmd962fnE7ZeZ2y+3ZM+Jl2y0/Z3+Z1LJn5fGWW2TFvk+8nXLzNsuK7E+fPk71866dvBkxvDYPwm+jUsObjYryZqOiDB1UgRVrVrNlc0GcClfi9OnTPH/+HI1Gg16f8vtH0ku6J/1Lr0c9fDgYjUk6RqqMRowqFerhw9G3aZPpXZWGDBmClZUVhw4domDBgqbpZcqUoU2bNmbD9mq1WmbPns3WrVvZtWsXH3/8MaNGjeLDDz9kz5493L17Fw8PD/r378/QoUNNy73YPcnPzw9vb28KFCjA999/j7W1Nf369TMNLGM0Gpk4cSJLly7l3r17uLi40L59e7755ptkM3z77bfs27ePQ4cOUaNGDbMMHTt2NL2vymAwMG3aNBYvXszdu3cpX748o0aNMr1fKzg4GH9/f7Zu3cpnn33G2bNn8fHxYfHixVSsWJFly5YxceJE07YAWLx4MT179uTx48eMGDGCjRs3EhMTQ82aNfn666/x8fEB4u9Q/PbbbwwcOJApU6Zw7dq1FN+jFRQUxPjx47l06RLu7u4MGjSIgIAA07ZLGKlTq9XSsGFDdu7cmWw5VlZWdOnShaVLl5oaDTdv3iQ4OJiPPvqIn3/+2TTv5cuX+eSTTzh8+DDPnj2jUqVKTJo0CT8/P9M88+fP59tvvzXd3WjQoIGpjF9//ZWJEydy+fJl7OzsqF69OkFBQWbHVFpZ1Gj47rvv6NmzJwUKFOC7775Ldd7+/funuzLiP7oYNVZWWrbsXpXTVQHAysoJgLi4xzlaj9RYWWnRWLlk+nbLC9kzIrXtlt+zp+Zl2bPqeMstsmrfu7mWyPXbLCuyH/s76QXrBLVqQflXTvLT+pPJfu7urqWIayE+GzWWihUrcuLECfbv309wcDAnT57EYDBgZWWVKUOlyoPQ8VQhIahu3kz5c6MRbt5EFRKCsVGjTFvvw4cP2b59O19++WWKJ3cv7p+JEycyadIkpk+fjpWVFQaDgZIlS7J69WpcXFw4ePCgaXTJTp06pbjuH3/8kWHDhrF//34OHTpEnz59qF+/Pv7+/gQFBTFr1ixWrlxJ5cqVuXv3Ln///XeKZa1atQo/Pz+zBkMCrVZrOsGfOnUqq1atYu7cuZQrV459+/bRs2dPihQpQsOGDU3LjBkzhmnTpuHq6sqgQYPo27cve/fu5Z133uH06dNs27aNLVu2AP/dRenSpQu2trZs3LgRR0dHFi1aRNOmTTlz5gzOzs5A/In5unXr+OWXX1IcNezYsWN07dqVsWPH0qlTJw4ePMiQIUNwdnamZ8+erFmzhs8//5zTp0+zZs2al96t6NWrF/7+/sycORM7OzuWL19O06ZNTYP6JHj69CnNmjVjwoQJ2NjYsGLFCtq2bcvp06fx8PDg6NGjBAQEmBog4eHhhISEAPEvRH733XeZPHkybdu25cmTJ4SEhGT4PTEWNRrmz59Pp06dKFCgAPPnz09xPpVKJY2GTBIdbUWPd0YQtGkhjyPuv3yBLKZWJ32ZXW7i5FiE9i37sftP90zfbrk9e0a8bLvl5+wvk1r2rDzecous2PdOjkVo06wPBoM+V2+z7Dzua9WCFi0gpR5BCcfamp+XAvEnXLVq1aJWrVp89NFHPHnyhMOHDxMSEkJwcDDXr18HSPedCBsbG3kZG8Q/9JyZ81no0qVLGI1GKlSoYDa9WLFiPH8ePyjEgAEDmDx5sumzLl260KtXL7P5v/jiC9PXpUuX5tChQ6xduzbVRoO3tzdjxowBoHz58sybN49du3bh7+/P9evXKVasGH5+fmi1Wjw8PKhdu3aqORq9pDEVExPDlClT2LJli+mqe5kyZdi/fz+LFi0yazRMnDjR9P2IESNo06YNz58/x9bWlkKFCqHRaMxe0hsSEkJoaCi3b982vYw3MDCQDRs28Ouvv5oG1NHpdPzwww8UKVIkxXp+8803NG7cmFGjRgFQoUIFzp49y4wZM+jZsyfOzs7Y2dlhbW1tVoeU1KhRg9KlS/Prr7/y7rvvsnz5cqZNm8aVK1fM5vPx8THdFQEYP348v/32Gxs3bmTQoEHcuHGDggUL0rJlS+zt7fH09DQ10u7cuUNcXBzt2rXD09MTINlnKdLKokZD4ucYXnymQWQdh0KF0Vrljl/een3GH7zKSloraxwKFQYyf7vl9uwZ8bLtlp+zv0xq2bPyeMstsmLfa62sKWTnYPo6t8qu4/5lDQYwP9aSY29vj7+/P/7+/gDcvn2bAwcOmB7KjIiIQK1WYzQaLbrKGBUVRXR0dJqz5Dvu7pk7XwYdOHAAg8FAjx49iImJMfssuYeA582bx9KlS7lx4wbR0dHodDqzE9DkvHhS6e7uTlhYfDfCjh07Mnv2bCpUqECTJk1o3rw5rVq1wsoq+dNIS461S5cuERUVRfPmzc2m63S6JM87JK5bwol5WFhYis8B/P333zx9+pSiRYuaTY+OjjY7Off09Ey1wQBw7tw52rRpYzatfv36fPvtt+j1+nS916RXr14sW7YMDw8Pnj17RvPmzZk7d67ZPE+fPmXChAls3rzZ1AiIjo7mxo0bAPj7++Ph4WHaJ02bNqVt27bY2dnh4+ND48aNqVGjBk2aNMHf358OHTpQuHDKv0sskWnvaRD5nZJvV0t2ZVJydlB2/qzPbkmDIT2KFy9Ox44d6dixIwaDgQsXLhASEsK+ffs4cuQIOp0u1bsQKpVKHoQGjA0aYCxZEm7diu+K9OLnKhWUKBE//GomKleuHCqVigsXLphNL1OmDAC2trZJlnmxG9PPP//Mp59+SmBgIHXr1sXe3p7p06dz5MiRVNf94gPUKpXK9OB9qVKlOH36NDt37mTHjh0MGTKE6dOns2vXrmQfvC5fvjznz59PdX1Pnz4FYMOGDRQvXtzss4S7A8nVLaF7VmqDAjx79gx3d3d27NiR5LPEQ6Ha2dmlWses0q1bNz777DMmTJhA9+7dk218jRgxgp07dzJ16lTKli2Lra2tabRSiL9gEBoaSnBwMNu3b2f8+PFMnDiRgwcP4uTkxJYtWzhw4AA7duxg7ty5jB07lv3791O6dOl019uiRkPCLRlLTJo0Kd2VEbmXRhP/g6XXR+ZwTbKfZJfsSqTk/FmVPeHcM6saDC9Sq9VUqlSJSpUq8cEHHxATE8Nff/1l6sp09uxZjEaj2fMQdnZ2MhoigEaDYcYM1J07Y1SpzBoOxoST1hkzMv0haBcXF/z9/Zk3bx6DBg1K10OrBw4coF69egwYMMA07cWuL+lha2tLq1ataNWqFQMGDKBq1aqcPHkSX1/fJPN27dqV0aNH89dffyV5riE2NhadTkflypWxsbHh+vXrZl2R0sra2jpJI7hGjRrcvXsXKysrvLy80l02QKVKlThw4IDZtAMHDlChQoV0vz3d2dmZ1q1bs2bNmiR3GBKvo0ePHqZ3jT19+pRr166ZzWNlZYWfnx9+fn6MGTMGV1dXdu/eTbt27VCpVLz22mu89tprjB49mrJly7J+/XrTA9zpYVGj4eRJ84ezTpw4gV6vN40ne/nyZdRqda4bPktkHr3+WU5XIcdIdmVScnZQdv6syJ5wbpFdDYbk2NjYULduXerWrcv//vc/Hj9+zKFDh9i/fz979uzh9u3bPHv2LEn3F6UytmuH4eef40dRSvxQdIkSGGbMyJLhVgFmz55No0aNqFu3LmPGjMHb2xu1Ws3Ro0c5f/58sifpiZUrV44VK1awbds2vLy8WLlyJUePHs3QyfOyZcvQ6/XUrl0bOzs7Vq1aha2tram//IuGDh3KH3/8QdOmTRk3bhyvvfYa9vb2HDt2jGnTprFw4UKqV6/O8OHD+d///ofBYOC1114jIiKCAwcO4ODgQI8ePSyqm6enJ1evXuX48eOULFkSe3t7/Pz8qFu3Lh06dGDKlCmUL1+e27dvs3nzZt5++21q1aplcfaAgADq1avHpEmT6NSpE4cOHWLevHnMnj3b4jKSs2TJEmbPno2Li0uyn5cvX55169bRsmVLVCoV48aNM7u7smnTJq5cucLrr79O4cKF2bx5MwaDgQoVKnD48GF2796Nv78/bm5uHDlyhPv37/PKK69kqM4WNRo2bNhg+nru3LkUKlSIefPmmW7xPH78mMGDB1O3bt0MVUYIIYTIj2rVgpIloWjRnGkwJMfJyYlmzZrRrFkzAG7cuMGhQ4coW7ZsDtcs9zC2a4e+TZtsfSN02bJlCQ0NZcqUKYwePZqbN29iY2PDK6+8wvDhw/nwww9TXb5fv34cP36cbt26oVKp6Ny5Mx9++KFpdKH0cHJyIjAwkE8++QS9Xk/VqlVZv359iie8NjY2bNmyhVmzZrFo0SI+/fRT7OzsqFSpEoMHDza9z2D8+PG4uroSGBjIlStXcHJyokaNGowcOdLiurVv357169fz1ltv8fjxY9OQqxs3bmTMmDF88MEH3L9/n2LFitGgQYMkzzm8jK+vL6tXr2b8+PFMmjQJd3d3xo0bR8+ePdNUzotsbW2T7W6WYNq0afTt25eGDRvi6urK//73PyIj/7v76ejoyPr165k4cSLPnz83NRarVKnC2bNn2bdvH99++y2RkZF4enoSGBho+llPL1V4eHiaxl+qUqUKa9euTdJaOXPmDB07duTMmTMZqlBeFBkZiZeXFxERETg4OLx8gZf4888/6d2rDcFbA1j560zuP7yVCbXMGGvr+AePdLq7OVyT5BVxKUH3DgH8trcAbzd8nqnbLbdnz4iXbbf8nP1lUsuelcdbbpEV+z5huwG5epvlpuM+YZs1ajqTCV/Oe+nLozIqJiaGJ0+epDoyTlpFRkbi6OjI1atXM+VvpKV0Oh0PHjzA09NTulwJkYrnz59z7do1XF1dUx09Lc0PQj958oSHDx8mmf7w4UPTQy0i/5GuCsok2ZVLyfmVnF2j0Vj0RmEhhPKk+SZpy5YtGTx4MBs3buTWrVvcunWLDRs2MHToUFq1apUVdRRCCCFENpE3QgshkpPmOw3Tp09n7Nix9OvXz/SLxcrKinfffZfx48dnegWVzrmw28tnygYajSsAev2DHK5J8l7cTpm53XJ79ox42XbLz9lfJrXsWXm85RZZse8Tb6fcvM1y03Gf3dtJr9fLG6GFEMlKc6PBzs6Or7/+mvHjx3P16lUAvLy80jUsmEjZw/Bn6HR6mjfuntNVAUAXG//Ql7U27W8YzS66WAOPn6rQxRoydbvlhewZkdp2y+/ZU/Oy7Fl1vOUWWbXvdbEGVCpy9TbLbce9TqfnYXj2dJlK7xCSQoj8L90vdytYsCBVqlTJzLqIRG7eesxXi57g4Vn85TNnA7UqviebwZjyy1RyWnSMishnahZtsMfWJk3P96cqL2TPiNS2W37PnpqXZc+q4y23yKp9Hx0TfxU7N2+z3HbcX792m5u3Hmfb+uTlbkKI5KSr0fDXX3+xfv16bt68maTv4/LlyzOlYgIeRRqxCc8dV31stPF/RGJic/9t68hnaiIz8aJcXsqeEcltN6VkT46l2TP7eMstsnrf5+ZtltuO+0eR2dfAMhgMphe9CSFEYmm+nPDrr7/SrFkzLly4wKZNm4iNjeXcuXPs3bsXe3v7rKijyAUMhvh/SiTZc7oWOUPJ2UHZ+ZWcXaVSyehJQohkpbnRMHPmTCZNmsTq1auxtrZm8uTJHD58mLZt21KyZMmsqKPIBYz//qdEkl2yK5GS8ys5u0qlQq/PHc9yCCFylzR3T7p69SpNmjQBQKvVEhUVhUqlYsCAAbRt25bPPvss0yupVA/D7uR0FUxsbeJf9hEdo8vhmmQ/yS7ZlUjJ+XNb9uz8W2AwGDAo9TaLECJVaW40ODo6ml7i5u7uztmzZ6lcuTIRERFERUVlegWVyNXVlQIFCvD7z9/ndFVMnJ2dAQgPD8/hmmQ/yS7ZlUjJ+XNjdpsCBdBoNDx69AgrKyuMRqPpjoBKpcLKyorY2FisrKxMw6YaDAasrKzMGgKpzavVaomJicHW1jYno+Y6ej2EhKi4cwfc3aFBAyMyyFTmOXfuHH369OHEiRNUrFiRY8eO5XSVRArS3GioX78+u3fvpnLlyrz99tt89tln7N27lz179tCoUaOsqCMAjx494tNPP2XLli2o1Wpat27N5MmTKVSoUIrLPH/+nDFjxhAUFIROp+PNN9/k66+/xs0t0Vjh//5xSGzRokV06NAhS3JYwsPDg/Pnz/PgQc6PEZ4g4Y+TEofjk+ySXYmUnD83Znd1dcXDwyPL1xMTE5Pl68hL1q1TMXy4mps3/3sovmRJIzNmGGjXLuu6sN29e5fJkyezefNmbt26hZubGz4+PgwdOpTGjRtn2nr8/Pzw8fFhxowZmVZmWk2YMIGCBQty+vTpFM/pevfuzY8//gjEvxvM2dkZb29vOnfuTM+ePbNkxK8JEyYwceJEmjRpwqZNm8w+mz59OiNHjqRhw4bs3Lkz09edW6W50RAYGMjz588B+Pjjj9FqtRw5coTWrVvzv//9L9MrmKBfv37cu3ePoKAg4uLiGDx4MAEBASxatCjFZUaNGsW2bdv44YcfcHBwYMSIEfTo0YMtW7aYzTdnzhz8/PxM3zs6OmZZDkt5eHhkyx8IS0VHRwMo8gqUZJfsSqTk/ErOLl2T/rNunYrOndUYX2gb3LoFnTur+fnnrGk4XL16lUaNGuHk5MSUKVOoWrUqsbGxbNu2jaFDh3Lq1KlMX2dG6XQ6rK2t07Xs5cuXadGiBZ6enqnO17RpUxYvXoxer+fevXts27aN4cOHExQUxLp167CySv6UNjY2Nt0P97u7u7Nnzx5u3rxp9tzu0qVLc9U5WnZJc9OscOHCuLu7xy+sVjNs2DBWrVrFl19+iY2NTaZXEOD8+fPs3LmTWbNmUatWLerWrcuUKVMICgrizp3k+3pGRkayYsUKvvzySxo2bEj16tWZM2cOR44cITQ01GxeR0dHihYtavpXoECBLMkhhBBCiNxPr4fhwxMaDOZD7xqN8d8PH64mK54ZHzJkCCqVigMHDtC+fXsqVKhAlSpVCAgIICQkxDTf48eP6devH+7u7jg7O/PWW29x4sQJ0+cTJkygZs2arFixgnLlyuHi4kL37t158uQJEH/1fu/evcyePRutVotWqzW9tPfUqVO0atUKJycnSpQoQc+ePc16P/j5+TF06FCGDx9OsWLFaNGiRbJZDAYDX375peklwDVr1mTr1q2mz7VaLX/++SdffvklWq2WCRMmpLhdbGxsKFasGCVKlMDX15eRI0cSFBTEli1bWLZsmVmZCxYsoF27djg6OvLVV19RqVKlJHdTjh8/jlar5dKlSymus0iRIrz11lumuxwABw4c4MGDBzRv3txs3tDQUJo1a0axYsVwcXGhcePG/Pnnn6bPjUYjEyZMoEyZMhQsWBAPDw+GDRtm+nz+/Pm88sorFCpUiBIlStC5c+cU65VT0v1yt8RiYmJYvHgxs2fP5ty5c5lRpJnQ0FAcHR2pUaOGadobb7yBWq3m2LFjtGrVKskyx48fJzY2ljfeeMM0rUKFCpQsWZLQ0FBeffVV0/QRI0bw0Ucf4eXlRa9evejevTsqVcrjc8fExJjdwk34AUyYnrhVGxcXh0ajMY1IoVKpUKvVpqs5yX1tNBrRaDSmPqsJrefE5b64joR5LF1fSutIXFbidURHR5v6u+aXTJbuJ51Oh1qtNl19zA+ZLN1PCZ8/ffo032SydD/FxcURFxeHSqXKN5nSsr6YmBg0Gg3Pnz/PN5ks3U/Gfy8tJz7u83omS/dTXFycqXtWZmXKi12eQkJUZl2SXmQ0qrh5M36+Ro0y725DeHg4W7duZeLEiRQsWDDJ505OTqavu3Tpgq2tLRs3bsTR0ZFFixbRtGlTzpw5Y+p6feXKFTZs2MD69et5/PgxXbt2JTAwkIkTJzJz5kwuXrxIlSpVGDduHBB/kvz48WOaNGlC7969+frrr4mOjubzzz+na9eubN++3bT+H3/8kf79+xMcHJxinm+//ZaZM2cyb948qlevztKlS2nXrh0nTpygfPny3Lhxg2bNmtGkSROGDx+eapfz5Lz55ptUq1aN9evX06dPH9P0iRMnMmnSJKZPn46VlRU2NjYsW7aM4cOHm+ZZtmwZr7/+OuXKlUt1Hb169eKzzz4zDfSzdOlSunbtmmS+p0+f8t577/HNN99gNBqZOXMmbdq04ezZs9jb2xMUFMSsWbNYuXIllStX5u7du/z9998AHD16lICAAJYuXUq9evUIDw83ayDmFhY3GmJiYpg6dSp79uxBq9UydOhQWrZsycqVK5k0aRJqtZoBAwZkSSXDwsIoUqSI2TQrKysKFy5MWFhYistYW1sn6Wrk5uZmtsxnn33G66+/jp2dHbt37+aTTz7h2bNn9O/fP8X6zJw5k8DAwAwkynuMRqNib1srNTf8lz039e3OLkofRcZgMKR68SQ/U/pxn9BoUrIUOjGkez5LXbp0CaPRSMWKFVOdLyQkhNDQUG7fvm3q5REYGMiGDRv49ddf6du3LxC/P5csWWJ6j1b37t3ZtWsXEydOxNHREWtra+zs7ChWrJip7IQT/C+//NI0bdGiRZQuXZoLFy5QoUIFAMqVK8eUKVNSrefMmTP55JNPTFfNJ0+ezJ49e/j222+ZPXs2xYoVQ6PRUKhQIbM6pEWlSpU4efKk2bQuXbrQq1cv0/c9evRg3LhxHDlyhNq1axMbG8tPP/3E1KlTX1p+y5YtGTRoEPv27cPX15e1a9eyZ88eli5dajbfm2++afb9ggULcHV1Ze/evbRs2ZLr169TrFgx/Pz80Gq1eHh4ULt2bQBu3LhBwYIFadmyJfb29nh6eppdKM8tLG40TJ48maVLl9KoUSNCQ0N5//336datG0ePHmXixIm0bds2zb9gx48fz6xZs1Kd59ChQ2kqM60++eQT09fVqlXj2bNnzJ49O9VGQ0BAAAMHDjR9/+TJE7y9vbGxsTH9S5CZXbZSKjcz15dSWQlXnl7Ml1E5mcnSdST8AbW0f3NeyGSphBHR7Ozssnx92ZXJ0nXo9Xq0Wm2GuivmtkxpWV/Ccf9i/rycydJ1vOy4z6jc/Dsirb/vLFlHXnzvw7+9sDNtPktZ2mD7+++/efr0KUWLFjWbHh0dzZUrV0zfe3l5mb14t1ixYty/f/+lZe/Zs8fsrkaCK1eumBoNvr6+qZYTGRnJ7du3qV+/vtn0+vXrm66wZwaj0ZjkAkfNmjXNvi9evDgtWrRg6dKl1K5dm99//52YmBg6duz40vK1Wi3dunVj6dKlXLlyhfLly1OtWrUk8927d4+xY8eyd+9ewsLC0Ov1REVFcf36dQA6duzI7NmzqVChAk2aNKF58+a0atUKKysr/P398fDwMH3WtGlT2rZta/Y7KDewuNHw22+/MX/+fJo3b86ZM2d4/fXXiYuLY9++fem+GjVo0KBkb/Ek5uXlhZubW5KDPC4ujkePHpmNhJSYm5sbOp2OiIgIs7sNYWFhKS4DUKtWLb7++mtiYmJS/KWd2SfOeYESr7glkOzKpOTsoOz8kl00aGCkZEkjt2799wxDYiqVkRIl4ufLTOXLl0elUnH+/PlU53v27Bnu7u7s2LEjyWeJT/ZffDg4YXjd1Dx9+pRWrVrx1VdfJfnMPVErKbnuUznh7NmzeHl5mU1Lrm69e/emV69eTJ8+nWXLltGpUyeLT8p79erFa6+9xunTp83uYLxY/sOHD5kxYwYeHh7Y2Njw+uuvo9PFv++lVKlSnD59mp07d7Jjxw6GDBnC9OnT2bVrF/b29oSGhhIcHMz27dsZP348EydO5ODBg8k23nKKxY2G27dv4+PjA0DlypWxsbFh4MCBGbp97erqiqur60vne/XVV4mIiOD48eNUr14dgL1792IwGJK0JhNUr14drVZLcHAwbdq0AeDixYvcvHnT7HmGF508eRInJyfFNQpeRsm3qyW7Mik5Oyg7v2QXGg3MmGGgc2c1KpXRrOGgUsVvoxkzDJn+vgZnZ2eaNGnC/PnzGTx4cJKT38ePH+Pk5ESNGjW4e/cuVlZWSU6Y08La2jrJnaAaNWqwbt06vLy8UhyRyBIODg4UL16cAwcO0LBhQ9P0AwcOpHoelha7d+/m1KlTfPTRRy+dt3nz5hQsWJAFCxawdetWdu3aZfF6qlSpQuXKlTl58mSKF7sPHDjA7NmzTQ9I37hxI8nQ+ba2trRq1YpWrVoxYMAAqlatysmTJ/H19cXKygo/Pz/8/PwYM2YMrq6u7N69m3bt2llcz6xm8ehJer3ebDgtKyurbGtlVqxYET8/P4YNG8axY8c4dOgQn376Ke3btze1em/fvk2dOnVMLwVxcHDg3XffZfTo0ezbt4/jx48zePBgXn31VdPBumXLFpYvX86ZM2e4cuUK33//PTNnzjT1BRT/0ev1efIWc2aQ7JJdiZScX7IrM/uL2rUz8vPPBkqUMJ9eogRZNtwqxD88rNfrqV+/PkFBQVy8eJGzZ88ye/ZsXn/9dSB+9KK6devSoUMHtm/fztWrVzlw4ABjxozh6NGjFq/L09OTI0eOcPXqVR48eIDBYGDAgAGEh4fz7rvvEhoayuXLl9m2bRt9+vRJ87ExfPhwpk2bxi+//ML58+f5/PPPOXHiBEOGDElTORD/bO3du3e5desWf/75J1OmTKF9+/a0bNmS995776XLazQaevTowejRoylfvjz16tVL0/q3b9/OjRs3UrzyX65cOVauXMnZs2c5fPgwPXr0MOvmt2zZMr7//ntOnTrFlStXWLVqFba2tnh6erJp0yZmz57N8ePHuXbtGj/++CMGg8HUFSy3sLgJaTQaGTRokOkK/PPnzxk+fHiShsPy5cszt4b/WrhwISNGjKBdu3aoVCpat25t9gBOXFwcFy9eNI1wA5ge0O7Zsyc6nY7GjRszbdo00+dWVlYsWbKE0aNHYzQaKV26NF9++SU9evTIkgx5WUauNuR1kl2ZlJwdlJ1fsosE7doZadNGn61vhC5TpgxHjhxh8uTJjBgxgjt37lCkSBF8fX2ZM2cOEN/NaOPGjYwZM4YPPviA+/fvU6xYMRo0aJDkOYfUDB8+nN69e1OtWjWio6O5ePEiXl5eBAcH8/nnn9OiRQtiYmLw9PSkSZMmaX6J2pAhQ4iMjGTEiBGEhYXxyiuvsG7dOsqXL5+mcgC2bt1KqVKlTAPhVKtWjZkzZ9KjRw+L6/X+++8zZcoUevbsmeb1v+xC+cKFCxkwYAC1a9emVKlSTJw4kU8//dT0uZOTE4GBgXzyySfo9XqqVq3K+vXrcXFxwdHRkfXr1zNx4kSeP39OuXLlWLFiBVWqVElzPbOSKjw83KKm8qBBgywqcO7cuRmqUF4UGRmJl5cXERERODg45HR1skTCkHlK7LYl2SW7Eik5v2TP3OyRkZE4Ojpy9erVbP0bqdPpePDgAZ6envL+JQHEjzrVpEkT/vnnnzQ1rvK758+fc+3aNVxdXVN9SZ/FlxSU2BgQ/4mLiwOU+UdUskt2JVJyfsmuzOwi/4qJieH+/ftMmDCBDh06SIMhndL8RmihTFZWVoq9bS3ZJbsSKTm/ZFdmdpF//fTTT5QtW5bHjx+/9N0SImXSaBBCCCGEEPlWz549iYmJ4ciRI5R48cl2YTFpNAiLxMbGEhsbm9PVyBGSXbIrkZLzS3ZlZhdCpE7uQQqLaLXanK5CjpHsyqTk7KDs/JI9f5F3TwiROkt/RuROgxBCCCHyHSsrK4xGo9lQ7EKIpKKjozEajS99nknuNAiLJNyuVuKIGpJdsiuRkvNL9vyRXa1WY2dnx/3794H4t/GqVKqXLCWEciQ0qu/fv4+dnd1L33chjQZhkfx4y9pSkl2ZlJwdlJ1fsucfCW/vDQsLkwaDEMkwGo3Y2dml+KbrxKTRIIQQQoh8SaVSUbhwYRwdHU3voBBC/MfKysriN2pLo0FYRMkv/JHskl2JlJxfsue/7Gq1OtU33QohXk4aDcIiGo0mp6uQYyS7Mik5Oyg7v2QXQoikpNEgLKLkvqCSXZmUnB2UnV+yCyFEUtJoEBbR6/U5XYUcI9mVScnZQdn5JbsQQiQljQZhESVffZLsyqTk7KDs/JJdCCGSkkaDsIilT9bnR5JdmZScHZSdX7ILIURS0mgQFjEYDDldhRwj2ZVJydlB2fkluxBCJCWXFIQQQgghhBCpkjsNwiJKvmUt2ZVJydlB2fkluxBCJCWNBmERJd+yluzKpOTsoOz8kl0IIZKSSwpCCCGEEEKIVMmdBmERJd+yluzKpOTsoOz8kl0IIZLKM78dHj16RL9+/fDw8MDLy4shQ4bw9OnTVJdZunQprVu3xsPDA2dnZyIiIjKlXCUyGAyKvW0t2SW7Eik5v2RXZnYhROryTKOhX79+nDt3jqCgIH766ScOHjxIQEBAqstER0fj5+fH8OHDM7VcJTIajRiNxpyuRo6Q7JJdiZScX7IrM7sQInWq8PDwXP/b4fz589SrV4+dO3dSo0YNAHbs2EHnzp05deoU7u7uqS4fEhJCmzZt+Oeff3B0dMxwuTExMcTExJi+f/LkCd7e3oSFheHg4EBsbCxarRaAuLg4NBoNKpUKvV6PSqVCrVabruQk97XRaESj0WA0GtHr9VhZxfciS1zui+tImMfS9aW0jsRlJV7Hs2fP0Gq1WFtb55tMlu4nnU6HWq02lZEfMlm6nxI+V6lU+SaTpftJp9MRFxeHra1tvsmUlvXFxMSg0WjQarX5JpOl+ynhpDnxcZ/XM1m6n+Li4tDr9djY2GRapqioKNzc3Lh69SoODg4IIfKmPHGnITQ0FEdHR9OJPcAbb7yBWq3m2LFj2V7uzJkz8fLyMv3z9vZOdx3yCiVffZLskl2JlJxfsiszuxAidXniQeiwsDCKFCliNs3KyorChQsTFhaW7eUGBAQwcOBA0/cJdxpsbGxM/xIk/jqjUio3M9eXUllxcXGmafklk6XrSLjSZmtrmy3ryy3rgPg7TAAFCxbM8vVlVyZL15FwFbZAgQJZto4Xv86ozFxfwnH/Yv68nMnSdbzsuM+o3Pw7wmAwoNFoLP59Z8k69Hp9msoSQuROOdpoGD9+PLNmzUp1nkOHDmVTbSyX2SfOeUHCLWglkuzKpOTsoOz8kl0IIZLK0d8OgwYNomvXrqnO4+XlhZubG/fv3zebHhcXx6NHj3Bzc0v3+rOqXCGEEEIIIfKTHG00uLq64urq+tL5Xn31VSIiIjh+/DjVq1cHYO/evRgMBmrWrJnu9WdVuflRbGwskLm36PMKyS7ZlUjJ+SW7MrMLIVKXJx6ErlixIn5+fgwbNoxjx45x6NAhPv30U9q3b28a4ej27dvUqVPH7AHme/fucfLkSa5cuQLAmTNnOHnyJI8ePbK4XBFPq9WaRsNQGsku2ZVIyfkluzKzCyFSlycaDQALFy6kfPnytGvXjs6dO1OnTh1mzpxp+jwuLo6LFy8SHR1tmvbDDz/QqFEjhg0bBkDLli1p1KgRmzdvtrhcIYQQQgghlC5PvKcht4uIiKB06dLcuHEj345BnfCW7EKFCuVwTbKfZJfsSqTk/JI9c7NHRkZSqlSpJO9KEkLkLTJMQiZI+CVbqlSpHK6JEEIIkTs9ffpUGg1C5GFypyETGAwG7ty5Q6FChVCpVDldnSyR8C6KkydPYm9vn9PVyVaSXbIrLTsoO79kz9zsRqORp0+f4u7ujlqdZ3pFCyFeIHcaMoFaraZEiRI5XY1sYW9vn2+7YL2MZJfsSqTk/JI987LLHQYh8j5p8gshhBBCCCFSJY0GIYQQQgghRKqk0SAsYmNjw4gRIxT5wh/JLtmVSMn5JbsyswshUicPQgshhBBCCCFSJXcahBBCCCGEEKmSRoMQQgghhBAiVdJoEEIIIYQQQqRKGg1CCCGEEEKIVEmjQSTr0aNH9OvXDw8PD7y8vBgyZAhPnz596XJHjhzh7bffpmTJknh4eNCyZUuio6OzocaZKz35W7dujbOzs9m/4cOHZ1ONM0969z3Ev/m1U6dOODs7s2nTpiyuaeZLT/aAgAB8fX0pXrw45cuXp3v37ly4cCGbapx50pr90aNHfPrpp9SuXZvixYvj7e3NyJEjiYyMzMZaZ5707PulS5fSunVrPDw8cHZ2JiIiIptqmzGLFy/Gx8cHd3d3/P39OXbsWKrzr1+/njp16uDu7s5rr73G9u3bs6mmQojcRBoNIln9+vXj3LlzBAUF8dNPP3Hw4EECAgJSXebIkSN06tSJN998k+3bt7Nz504++OAD1Oq8d5ilJz9Ajx49OHv2rOnfuHHjsr6ymSy92QHmz5+PSqXK4hpmnfRk9/HxYc6cORw6dIi1a9diNBrp0KEDer0+m2qdOdKa/c6dO9y5c4cJEyawf/9+5s6dy86dOxkyZEg21jrzpGffR0dH4+fnl6cuDgQFBTF69GhGjBjB7t27qVq1Kh07duT+/fvJzn/48GH69u1L9+7d2bNnDy1atODdd9/lzJkz2VxzIUROkyFXRRLnz5+nXr167Ny5kxo1agCwY8cOOnfuzKlTp3B3d092ubfeeos33niDUaNGZWd1M11687du3ZqqVasyefLk7KxupkpvdoCTJ0/SpUsXdu3axSuvvMKPP/5Iy5Yts6vqGZaR7ImdPn2a119/nWPHjlG6dOmsrHKmyazs69ev58MPP+TmzZtYWVllZZUzVUbzh4SE0KZNG/755x8cHR2zo8rp5u/vj6+vL4GBgQAYDAa8vb3p27cvw4YNSzJ/7969iYqK4qeffjJNe+utt/D29mbGjBnZVW0hRC6Q9y4BiywXGhqKo6Oj6Y8nwBtvvIFarU7xNvb9+/c5duwYRYoUoWnTplSsWJFWrVpx6NCh7Kp2pklP/gRr166lXLly1K9fnwkTJhAVFZXV1c1U6c0eFRVF3759mTZtGkWLFs2Oqma6jOz3BM+ePWPlypV4enpSokSJrKpqpsuM7ACRkZHY29vnqQYDZF7+3E6n03HixAkaNWpkmqZWq2nUqBGhoaHJLhMaGmo2P0Djxo1TnF8IkX9Jo0EkERYWRpEiRcymWVlZUbhwYcLCwpJd5urVqwBMnTqVHj16sGbNGqpVq0bbtm25fPlyVlc5U6UnP0CHDh1YsGABGzZsICAggJ9//pkPP/wwq6ubqdKbfdSoUdSuXZsWLVpkdRWzTHqzAyxZsoRSpUpRqlQpdu7cSVBQENbW1llZ3UyVkewJHj58yNdff03Pnj2zoopZKjPy5wUPHz5Er9cnyVqkSBHu3buX7DJhYWG4ubmZTXNzc8tX20UIYZm8dTlIZMj48eOZNWtWqvOk986AwWAAoFevXnTv3h2AatWqsXfvXlauXMnYsWPTVW5mysr8EJ89QeXKlSlatCht27bln3/+yfFuKlmZffPmzezbt489e/aka/msltX7HaBTp0688cYb3Lt3jzlz5tC7d282b95MgQIFMlRuRmVHdoi/w9C5c2cqVqzIp59+muHyMkt25RdCCCWQRoOCDBo0iK5du6Y6j5eXF25ubkkeiouLi+PRo0dJrjglKFasGAAVK1Y0m16hQgVu3ryZgVpnnqzMn5yaNWsCcOXKlRxvNGRl9r179ybbMOrZsyf16tVj48aNGat8BmXHfndwcMDBwYGyZctSq1YtypQpw6ZNm+jQoUOG658R2ZH9yZMndOrUCXt7e3788Ue0Wm2G651ZsvtnPrdzcXFBo9EkyXr//v0UuxUmd1chubsPQoj8TxoNCuLq6oqrq+tL53v11VeJiIjg+PHjVK9eHYg/MTQYDKYT4Rd5eHjg7u7OxYsXzaZfvnwZf3//DNc9M2Rl/uScPHkS+K9BlZOyMvuwYcN47733zKY1aNCASZMm0axZswzXPaOye78bjUaMRiMxMTHprXKmyerskZGRdOzYERsbG1auXJnjd1ZelN37PreztrbGx8eHvXv3mgYpMBgMBAcH07dv32SXefXVV9m7dy8DBgwwTduzZw+vvvpqttRZCJF7yDMNIomKFSvi5+fHsGHDOHbsGIcOHeLTTz+lffv2plFEbt++TZ06dUwPCapUKgYPHszChQv57bffuHLlCpMmTeLixYu8++67ORknzdKT/59//mHatGkcP36c69evs3nzZgYOHEj9+vWpUqVKTsZJk/RkL1q0KJUrVzb7B1CyZEk8PT1zLEtapSf71atXmTlzJsePH+fmzZscPnyY999/nwIFCvDWW2/lZJw0SU/2yMhIOnToQFRUFN9++y1Pnjzh3r173Lt3L88NN5ue/AD37t3j5MmTXLlyBYAzZ85w8uRJHj16lCM5LDFw4ECWL1/O6tWrOX/+PB9//DFRUVF069YNgAEDBjBhwgTT/P3792fnzp3MmTOHCxcuMGXKFI4fP84HH3yQUxGEEDlE7jSIZC1cuJARI0bQrl07VCoVrVu3ZsqUKabP4+LiuHjxotmL2wYMGEBMTAyjRo3i8ePHVKlShaCgoBzvmpMeac2v1WoJDg5mwYIFREVFUaJECVq3bs3HH3+cUxHSLT37Pr9Ia3YbGxsOHjzIggULePz4MUWKFKF+/fps2bIlycOmuV1as//999+mE+gXr8YfP34cDw+P7Kt8JkjPcf/DDz+Yhi4FTFfv58yZYzoJz23at2/Pw4cPmTx5MmFhYVStWpU1a9aYuhvdvHnT7N06derUYeHChXz11Vd8+eWXlClThhUrVpguDgghlEPe0yCEEEIIIYRIlXRPEkIIIYQQQqRKGg1CCCGEEEKIVEmjQQghhBBCCJEqaTQIIYQQQgghUiWNBiGEEEIIIUSqpNEghBBCCCGESJU0GoQQQgghhBCpkkaDEEIIIYQQIlXSaBBC5CohISE4OzsTERGR6nw+Pj7Mnz8/W+r04YcfMmPGjAyVsWPHDho2bIjBYMikWgkhhBDZRxoNQog0GzRoEM7Ozjg7O1O0aFFq1qxJYGAgcXFxGS67du3anD17FgcHBwBWrVqFl5dXkvl27txJz549M7y+lzl16hTbt2+nX79+GSrH398frVbLmjVrMqlmQgghRPaRRoMQIl38/Pw4e/YsR48eZdCgQUydOpXZs2dnuFxra2uKFi2KSqVKdT5XV1fs7OwyvL6XWbhwIW+//TaFChXKcFldu3Zl4cKFmVArIYQQIntJo0EIkS42NjYULVqUUqVK0bt3bxo1asTmzZsBePz4MQMGDKB06dKUKFGCTp06cfnyZdOyN27coGvXrpQuXZqSJUtSr149tm/fDph3TwoJCWHw4MFERkaa7mxMmTIFSNo96ebNm3Tv3p1SpUrh4eHB+++/T1hYmOnzKVOm0LBhQ37++Wd8fHzw9PSkT58+PHnyJMWMer2eDRs20KxZM7PpPj4+fP311wwYMIBSpUpRrVo1Nm/ezIMHD0x1aNCgAX/99ZfZcs2aNeOvv/7in3/+SedWF0IIIXKGNBqEEJnC1taW2NhYIL770l9//cWqVavYunUrRqORzp07mz7/5JNPiImJYdOmTYSEhDBu3DgKFiyYpMzatWvz1VdfYW9vz9mzZzl79iyDBw9OMp/BYKB79+48evSIjRs3EhQUxLVr1+jTp4/ZfFevXmXTpk2sXr2an376iQMHDjBr1qwUM50+fZrIyEiqV6+e5LP58+dTp04d9uzZQ5MmTfjwww8ZMGAAnTp1Yvfu3ZQuXZoBAwZgNBpNy5QsWRI3NzcOHjxo0TYVQgghcgurnK6AECJvMxqNBAcHs2vXLvr27cvly5fZvHkzmzdvpk6dOkB8Fx9vb282bdpE27ZtuXnzJq1bt6Zy5coAyT6zAPFdlRwcHFCpVBQtWjTFOgQHB3PmzBn++usvSpYsCcC8efOoX78+f/75J76+vkB842Lu3LnY29sD8M477xAcHMzo0aOTLffGjRtoNBqKFCmS5LO33nqLXr16AfGNoO+//54aNWrQtm1bAIYOHUrTpk0JCwszq3uxYsW4ceNGilmEEEKI3EjuNAgh0mXr1q2UKlUKd3d33nnnHdq1a8enn37KhQsXsLKyolatWqZ5nZ2dKVeuHBcuXACgX79+TJ8+nWbNmjF58mROnz6dobpcuHCBEiVKmBoMAJUqVcLR0dG0ToBSpUqZGgwARYsW5cGDBymW+/z5c2xsbJJ9viKhwQPg5uaW4rQXyy9QoADR0dGWRhNCCCFyBWk0CCHSpUGDBgQHB3P06FFu377NvHnzku1ilJwePXrw559/0rlzZ86ePUvjxo2z5QFhrVZr9r1KpUp1CFRnZ2eioqLQ6XSplpXQqEhu2ovlP3r0CBcXl7RXXgghhMhB0mgQQqRLwYIFKVOmDCVLlsTK6r+ejhUqVCAuLo6jR4+apoWHh3Pp0iUqVqxomlayZEnef/99li9fzqBBg1i+fHmy67G2tn7puw0qVKjArVu3uHnzpmnauXPniIiIMFtnWnl7ewNw/vz5dJeR2PPnz7l69SrVqlXLlPKEEEKI7CKNBiFEpipbtiwtWrRg2LBhHDp0iFOnTtG/f3/c3d1p0aIFAJ999hk7d+7k2rVrnDhxgn379lGhQoVkyytVqhRPnz4lODiYhw8fEhUVlWSeN954g8qVK9O/f39OnDjBsWPHGDhwIK+99ho1atRIdxZXV1d8fHw4dOhQustI7OjRo9jY2PDqq69mSnlCCCFEdpFGgxAi082ZM4fq1avTpUsXmjZtitFo5OeffzZ13zEYDIwYMYK6devSqVMnypUrx9dff51sWXXq1OH999+nT58+lC9fnm+//TbJPCqVipUrV+Lk5ESrVq1o164dnp6eLFmyJMNZ3nvvvUx7Iduvv/5Kx44ds+X9EkIIIURmUoWHhxtfPpsQQihTdHQ0tWvXZsmSJdSuXTvd5Tx8+JDatWuza9cuPD09M7GGQgghRNaTOw1CCJEKW1tb5s+fT3h4eIbKuX79OtOmTZMGgxBCiDxJ7jQIIYQQQgghUiV3GoQQQgghhBCpkkaDEEIIIYQQIlXSaBBCCCGEEEKkShoNQgghhBBCiFRJo0EIIYQQQgiRKmk0CCGEEEIIIVIljQYhhBBCCCFEqqTRIIQQQgghhEiVNBqEEEIIIYQQqfo/B4QqnMaKAVsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "motor_l1395.plots.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nozzle Details\n",
      "Nozzle Radius: 0.02475 m\n",
      "Nozzle Throat Radius: 0.01075 m\n",
      "\n",
      "Grain Details\n",
      "Number of Grains: 5\n",
      "Grain Spacing: 0.003 m\n",
      "Grain Density: 1519.708 kg/m3\n",
      "Grain Outer Radius: 0.033 m\n",
      "Grain Inner Radius: 0.015 m\n",
      "Grain Height: 0.12 m\n",
      "Grain Volume: 0.000 m3\n",
      "Grain Mass: 0.495 kg\n",
      "\n",
      "Motor Details\n",
      "Total Burning Time: 3.433 s\n",
      "Total Propellant Mass: 2.475 kg\n",
      "Average Propellant Exhaust Velocity: 1977.740 m/s\n",
      "Average Thrust: 1425.839 N\n",
      "Maximum Thrust: 1800.0 N at 0.1 s after ignition.\n",
      "Total Impulse: 4894.905 Ns\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "motor_l1395.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rocket\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create the `Rocket` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "ndrt2020 = Rocket(\n",
    "    radius=parameters.get(\"radius\")[0],\n",
    "    mass=parameters.get(\"rocket_mass\")[0],\n",
    "    inertia=(\n",
    "        parameters.get(\"inertia_i\")[0],\n",
    "        parameters.get(\"inertia_i\")[0],\n",
    "        parameters.get(\"inertia_z\")[0],\n",
    "    ),\n",
    "    power_off_drag=parameters.get(\"drag_coefficient\")[0],\n",
    "    power_on_drag=parameters.get(\"drag_coefficient\")[0],\n",
    "    center_of_mass_without_motor=parameters.get(\"center_of_mass_without_motor\")[0],\n",
    "    coordinate_system_orientation=\"nose_to_tail\",\n",
    ")\n",
    "ndrt2020.set_rail_buttons(1.5, 2, 45)\n",
    "\n",
    "ndrt2020.add_motor(motor=motor_l1395, position=parameters.get(\"motor_position\")[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding aerodynamic surfaces\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "nose_cone = ndrt2020.add_nose(\n",
    "    length=parameters.get(\"nose_length\")[0],\n",
    "    kind=\"tangent\",\n",
    "    position=parameters.get(\"nose_position\")[0],\n",
    ")\n",
    "fin_set = ndrt2020.add_trapezoidal_fins(\n",
    "    4,\n",
    "    span=parameters.get(\"fin_span\")[0],\n",
    "    root_chord=parameters.get(\"fin_root_chord\")[0],\n",
    "    tip_chord=parameters.get(\"fin_tip_chord\")[0],\n",
    "    position=parameters.get(\"fin_position\")[0],\n",
    "    sweep_angle=parameters.get(\"fin_sweep_angle\")[0],\n",
    "    radius=parameters.get(\"transition_bottom_radius\")[0],\n",
    ")\n",
    "transition = ndrt2020.add_tail(\n",
    "    top_radius=parameters.get(\"transition_top_radius\")[0],\n",
    "    bottom_radius=parameters.get(\"transition_bottom_radius\")[0],\n",
    "    length=parameters.get(\"transition_length\")[0],\n",
    "    position=parameters.get(\"transition_position\")[0],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding Parachute\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "drogue = ndrt2020.add_parachute(\n",
    "    \"Drogue\",\n",
    "    cd_s=parameters.get(\"cd_s_drogue\")[0],\n",
    "    trigger=\"apogee\",\n",
    "    sampling_rate=105,\n",
    "    lag=parameters.get(\"lag_rec\")[0],\n",
    "    noise=(0, 8.3, 0.5),\n",
    ")\n",
    "main = ndrt2020.add_parachute(\n",
    "    \"Main\",\n",
    "    cd_s=parameters.get(\"cd_s_main\")[0],\n",
    "    trigger=167.64,\n",
    "    sampling_rate=105,\n",
    "    lag=parameters.get(\"lag_rec\")[0],\n",
    "    noise=(0, 8.3, 0.5),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ndrt2020.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Inertia Details\n",
      "\n",
      "Rocket Mass: 18.998 kg (without motor)\n",
      "Rocket Dry Mass: 20.846 kg (with unloaded motor)\n",
      "Rocket Loaded Mass: 23.321 kg\n",
      "Rocket Inertia (with unloaded motor) 11: 78.421 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 22: 78.421 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 33: 0.160 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 12: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 13: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 23: 0.000 kg*m2\n",
      "\n",
      "Geometrical Parameters\n",
      "\n",
      "Rocket Maximum Radius: 0.1015 m\n",
      "Rocket Frontal Area: 0.032365 m2\n",
      "\n",
      "Rocket Distances\n",
      "Rocket Center of Dry Mass - Center of Mass without Motor: 0.154 m\n",
      "Rocket Center of Dry Mass - Nozzle Exit: 1.937 m\n",
      "Rocket Center of Dry Mass - Center of Propellant Mass: 1.587 m\n",
      "Rocket Center of Mass - Rocket Loaded Center of Mass: 0.168 m\n",
      "\n",
      "\n",
      "Aerodynamics Lift Coefficient Derivatives\n",
      "\n",
      "Nose Cone Lift Coefficient Derivative: 2.000/rad\n",
      "Tail Lift Coefficient Derivative: -0.834/rad\n",
      "Fins Lift Coefficient Derivative: 5.057/rad\n",
      "\n",
      "Center of Pressure\n",
      "\n",
      "Nose Cone Center of Pressure position: 0.282 m\n",
      "Tail Center of Pressure position: 1.261 m\n",
      "Fins Center of Pressure position: 3.097 m\n",
      "\n",
      "Stability\n",
      "\n",
      "Center of Mass position (time=0): 1.623 m\n",
      "Center of Pressure position (time=0): 2.438 m\n",
      "Initial Static Margin (mach=0, time=0): 4.016 c\n",
      "Final Static Margin (mach=0, time=burn_out): 4.846 c\n",
      "Rocket Center of Mass (time=0) - Center of Pressure (mach=0): 0.815 m\n",
      "\n",
      "\n",
      "Parachute Details\n",
      "\n",
      "Parachute Drogue with a cd_s of 0.4378 m2\n",
      "Ejection signal trigger: At Apogee\n",
      "Ejection system refresh rate: 105.000 Hz\n",
      "Time between ejection signal is triggered and the parachute is fully opened: 1.0 s\n",
      "\n",
      "\n",
      "Parachute Details\n",
      "\n",
      "Parachute Main with a cd_s of 16.0525 m2\n",
      "Ejection signal trigger: 167.64 m (AGL)\n",
      "Ejection system refresh rate: 105.000 Hz\n",
      "Time between ejection signal is triggered and the parachute is fully opened: 1.0 s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "ndrt2020.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Flight\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Flight\n",
    "flight = Flight(\n",
    "    rocket=ndrt2020,\n",
    "    environment=env,\n",
    "    rail_length=parameters.get(\"rail_length\")[0],\n",
    "    inclination=parameters.get(\"inclination\")[0],\n",
    "    heading=parameters.get(\"heading\")[0],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Initial Conditions\n",
      "\n",
      "Initial time: 0.000 s\n",
      "Position - x: 0.00 m | y: 0.00 m | z: 206.00 m\n",
      "Velocity - Vx: 0.00 m/s | Vy: 0.00 m/s | Vz: 0.00 m/s\n",
      "Attitude (quaternions) - e0: -0.391 | e1: 0.000 | e2: 0.000 | e3: -0.921\n",
      "Euler Angles - Spin φ : -293.00° | Nutation θ: 0.00° | Precession ψ: 67.00°\n",
      "Angular Velocity - ω1: 0.00 rad/s | ω2: 0.00 rad/s | ω3: 0.00 rad/s\n",
      "Initial Stability Margin: 4.017 c\n",
      "\n",
      "\n",
      "Surface Wind Conditions\n",
      "\n",
      "Frontal Surface Wind Speed: -5.04 m/s\n",
      "Lateral Surface Wind Speed: 2.57 m/s\n",
      "\n",
      "\n",
      "Launch Rail\n",
      "\n",
      "Launch Rail Length: 3.353 m\n",
      "Launch Rail Inclination: 90.00°\n",
      "Launch Rail Heading: 181.00°\n",
      "\n",
      "\n",
      "Rail Departure State\n",
      "\n",
      "Rail Departure Time: 0.253 s\n",
      "Rail Departure Velocity: 13.044 m/s\n",
      "Rail Departure Stability Margin: 4.072 c\n",
      "Rail Departure Angle of Attack: 23.546°\n",
      "Rail Departure Thrust-Weight Ratio: 6.657\n",
      "Rail Departure Reynolds Number: 2.061e+05\n",
      "\n",
      "\n",
      "Burn out State\n",
      "\n",
      "Burn out time: 3.433 s\n",
      "Altitude at burn out: 533.391 m (ASL) | 327.391 m (AGL)\n",
      "Rocket speed at burn out: 170.838 m/s\n",
      "Freestream velocity at burn out: 172.574 m/s\n",
      "Mach Number at burn out: 0.518\n",
      "Kinetic energy at burn out: 3.042e+05 J\n",
      "\n",
      "\n",
      "Apogee State\n",
      "\n",
      "Apogee Time: 16.650 s\n",
      "Apogee Altitude: 1499.430 m (ASL) | 1293.430 m (AGL)\n",
      "Apogee Freestream Speed: 23.981 m/s\n",
      "Apogee X position: -88.586 m\n",
      "Apogee Y position: -204.583 m\n",
      "Apogee latitude: 41.7736065°\n",
      "Apogee longitude: -86.5735356°\n",
      "\n",
      "\n",
      "Parachute Events\n",
      "\n",
      "Parachute: Drogue\n",
      "\tEjection time: 16.657 s\n",
      "\tInflation time: 17.657 s\n",
      "\tFreestream speed at inflation: 25.573 m/s\n",
      "\tAltitude at inflation: 1494.688 m (ASL) | 1293.429 m (AGL)\n",
      "Parachute: Main\n",
      "\tEjection time: 59.362 s\n",
      "\tInflation time: 60.362 s\n",
      "\tFreestream speed at inflation: 27.777 m/s\n",
      "\tAltitude at inflation: 346.028 m (ASL) | 167.710 m (AGL)\n",
      "\n",
      "\n",
      "Impact Conditions\n",
      "\n",
      "Time of impact: 90.112 s\n",
      "X impact: 416.230 m\n",
      "Y impact: 134.939 m\n",
      "Altitude impact: 206.000 m (ASL) | -0.000 m (AGL) \n",
      "Latitude: 41.7766609°\n",
      "Longitude: -86.5674457°\n",
      "Vertical velocity at impact: -4.528 m/s\n",
      "Number of parachutes triggered until impact: 2\n",
      "\n",
      "\n",
      "Stability Margin\n",
      "\n",
      "Initial Stability Margin: 4.017 c at 0.00 s\n",
      "Out of Rail Stability Margin: 4.072 c at 0.25 s\n",
      "Maximum Stability Margin: 5.010 c at 3.34 s\n",
      "Minimum Stability Margin: 4.017 c at 0.00 s\n",
      "\n",
      "\n",
      "Maximum Values\n",
      "\n",
      "Maximum Speed: 173.142 m/s at 3.26 s\n",
      "Maximum Mach Number: 0.525 Mach at 3.26 s\n",
      "Maximum Reynolds Number: 2.469e+06 at 3.26 s\n",
      "Maximum Dynamic Pressure: 1.840e+04 Pa at 3.26 s\n",
      "Maximum Acceleration During Motor Burn: 67.083 m/s² at 0.10 s\n",
      "Maximum Gs During Motor Burn: 6.841 g at 0.10 s\n",
      "Maximum Acceleration After Motor Burn: 13.675 m/s² at 7.63 s\n",
      "Maximum Gs After Motor Burn: 1.394 Gs at 7.63 s\n",
      "Maximum Stability Margin: 5.010 c at 3.34 s\n",
      "Maximum Upper Rail Button Normal Force: 1.278 N\n",
      "Maximum Upper Rail Button Shear Force: 2.512 N\n",
      "Maximum Lower Rail Button Normal Force: 5.994 N\n",
      "Maximum Lower Rail Button Shear Force: 11.749 N\n",
      "\n",
      "\n",
      "Numerical Integration Settings\n",
      "\n",
      "Maximum Allowed Flight Time: 600.00 s\n",
      "Maximum Allowed Time Step: inf s\n",
      "Minimum Allowed Time Step: 0.00e+00 s\n",
      "Relative Error Tolerance: 1e-06\n",
      "Absolute Error Tolerance: [0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 1e-06, 1e-06, 1e-06, 1e-06, 0.001, 0.001, 0.001]\n",
      "Allow Event Overshoot: True\n",
      "Terminate Simulation on Apogee: False\n",
      "Number of Time Steps Used: 487\n",
      "Number of Derivative Functions Evaluation: 163\n",
      "Average Function Evaluations per Time Step: 0.335\n",
      "\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 900x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flight.info()\n",
    "flight.plots.trajectory_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison with the real flight data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load the available flight data: altitude above ground level (m), vertical velocity (m/s), time (s)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "flight_data = np.loadtxt(\n",
    "    \"../../data/rockets/NDRT_2020/ndrt_2020_flight_data.csv\",\n",
    "    skiprows=1,\n",
    "    delimiter=\",\",\n",
    "    usecols=(3, 4),  # 3: Time (s); 4: Altitude (Ft-AGL)\n",
    ")\n",
    "\n",
    "# TODO: In the future, we could also use the axial acceleration data to compare against the simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Convert to Function objects\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "actual_z = Function(\n",
    "    source=np.column_stack((flight_data[:, 0], flight_data[:, 1] / 3.281)),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Altitude above ground level (m)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")  # the division by 3.281 is to convert from feet to meters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculate the actual vertical velocity as the derivative of the altitude\n",
    "actual_vz = actual_z.derivative_function()\n",
    "actual_vz_filtered = Function(\n",
    "    source=np.column_stack(\n",
    "        (actual_vz.source[:, 0], savgol_filter(actual_vz.source[:, 1], 51, 3))\n",
    "    ),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Vertical velocity (m/s)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Function.compare_plots(\n",
    "    plot_list=[(actual_vz, \"Actual\"), (actual_vz_filtered, \"Filtered\")],\n",
    "    ylabel=\"Vertical velocity (m/s)\",\n",
    "    title=\"Vertical velocity\",\n",
    "    xlabel=\"Time (s)\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the actual vertical velocity will be calculated as the derivative of the altitude\n",
    "actual_az = actual_vz_filtered.derivative_function()\n",
    "\n",
    "actual_az_filtered = Function(\n",
    "    source=np.column_stack(\n",
    "        (actual_az.source[:, 0], savgol_filter(actual_az.source[:, 1], 51, 3))\n",
    "    ),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Vertical acceleration (m/s^2)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Function.compare_plots(\n",
    "    plot_list=[(actual_az, \"Actual\"), (actual_az_filtered, \"Filtered\")],\n",
    "    ylabel=\"Vertical acceleration (m/s^2)\",\n",
    "    title=\"Vertical acceleration\",\n",
    "    xlabel=\"Time (s)\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get the simulated results\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "simulated_z = flight.z - env.elevation\n",
    "simulated_vz = flight.vz\n",
    "simulated_az = flight.az\n",
    "simulated_t_final = flight.t_final\n",
    "simulated_apogee = flight.apogee - env.elevation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plots comparison\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_z[:, 0], actual_z[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_z[:, 0], simulated_z[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Altitude (m)\")\n",
    "plt.ylim(0, 1390)\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_vz_filtered[:, 0], actual_vz_filtered[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_vz[:, 0], simulated_vz[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Vertical velocity (m/s)\")\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_az_filtered[:, 0], actual_az_filtered[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_az[:, 0], simulated_az[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Vertical acceleration (m/s^2)\")\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Numerical comparison\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Apogee (AGL)\n",
      "RocketPy: 1293.43 m\n",
      "Real data: 1320.29 m\n",
      "Absolute error: 26.86 m\n",
      "Relative error: 2.03 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Apogee (AGL)\")\n",
    "print(f\"RocketPy: {simulated_apogee:.2f} m\")\n",
    "print(f\"Real data: {actual_z.max:.2f} m\")\n",
    "diff = abs(actual_z.max - simulated_apogee)\n",
    "print(f\"Absolute error: {diff:.2f} m\")\n",
    "print(f\"Relative error: {diff / actual_z.max * 100:.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max Velocity\n",
      "RocketPy:  171.65 m/s\n",
      "Real data: 164.21 m/s\n",
      "Absolute error: 7.43 m/s\n",
      "Relative error: 4.53 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Max Velocity\")\n",
    "print(f\"RocketPy:  {simulated_vz.max:.2f} m/s\")\n",
    "print(f\"Real data: {actual_vz_filtered.max:.2f} m/s\")\n",
    "velocity_error = simulated_vz.max - actual_vz_filtered.max\n",
    "print(f\"Absolute error: {velocity_error:.2f} m/s\")\n",
    "relative_error = abs(velocity_error) / actual_vz_filtered.max * 100\n",
    "print(f\"Relative error: {relative_error:.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max Acceleration (before parachute deployment)\n",
      "RocketPy: 67.08 m/s²\n",
      "Real data: 72.45 m/s²\n",
      "Absolute error: -5.36 m/s^2\n",
      "Relative error: 7.40 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Max Acceleration (before parachute deployment)\")\n",
    "\n",
    "# For some reason, the acceleration data gets a shock at the deployment of a parachute\n",
    "# We will investigate the acceleration data before the parachute deployment\n",
    "# For pragmatical reasons, we will consider the parachute deployment to be at the half of the flight\n",
    "\n",
    "# Compute the maximum acceleration for the first half of the flight\n",
    "simulated_half_length = len(simulated_az) // 2\n",
    "max_simulated_az = np.max(simulated_az[:, 1][:simulated_half_length])\n",
    "\n",
    "actual_half_length = len(actual_az_filtered) // 2\n",
    "max_actual_az_filtered = np.max(actual_az_filtered[:, 1][:actual_half_length])\n",
    "\n",
    "# Print the results\n",
    "print(f\"RocketPy: {max_simulated_az:.2f} m/s²\")\n",
    "print(f\"Real data: {actual_az_filtered.max:.2f} m/s²\")\n",
    "\n",
    "# Compute and print the errors\n",
    "acceleration_error = max_simulated_az - actual_az_filtered.max\n",
    "print(f\"Absolute error: {acceleration_error:.2f} m/s^2\")\n",
    "relative_error = abs(acceleration_error) / actual_az_filtered.max * 100\n",
    "print(f\"Relative error: {relative_error:.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. Measured Stability Margin 2.875 cal\n",
    "# 2. Official Target Altitude 4,444 ft\n",
    "# 3. Measured Altitude 4,320 ft or 1316.736 m\n",
    "# 4. Drift: 2275 ft"
   ]
  }
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